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5871820343904 = 25352692807141
BaseRepresentation
bin101010101110010001111…
…0001000000101001100000
3202210100012020220100200000
41111130203301000221200
51232200442002001104
620253251012100000
71144140116261664
oct125344361005140
922710166810600
105871820343904
111964252562679
127a9bb8904600
1333793064c148
141642aa3b48a4
15a2b15d4a639
hex55723c40a60

5871820343904 has 144 divisors (see below), whose sum is σ = 17380812692880. Its totient is φ = 1949996643840.

The previous prime is 5871820343869. The next prime is 5871820343927. The reversal of 5871820343904 is 4093430281785.

It is a happy number.

5871820343904 is a `hidden beast` number, since 587 + 1 + 8 + 20 + 3 + 4 + 39 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×58718203439042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688174 + ... + 3495314.

It is an arithmetic number, because the mean of its divisors is an integer number (120700088145).

Almost surely, 25871820343904 is an apocalyptic number.

5871820343904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5871820343904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8690406346440).

5871820343904 is an abundant number, since it is smaller than the sum of its proper divisors (11508992348976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5871820343904 is a wasteful number, since it uses less digits than its factorization.

5871820343904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807435 (or 2807415 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 5871820343904 in words is "five trillion, eight hundred seventy-one billion, eight hundred twenty million, three hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 269 288 324 432 486 538 648 807 864 972 1076 1296 1614 1944 2152 2421 2592 3228 3888 4304 4842 6456 7263 7776 8608 9684 12912 14526 19368 21789 25824 29052 38736 43578 58104 65367 77472 87156 116208 130734 174312 232416 261468 348624 522936 697248 1045872 2091744 2807141 5614282 8421423 11228564 16842846 22457128 25264269 33685692 44914256 50528538 67371384 75792807 89828512 101057076 134742768 151585614 202114152 227378421 269485536 303171228 404228304 454756842 606342456 682135263 755120929 808456608 909513684 1212684912 1364270526 1510241858 1819027368 2265362787 2425369824 2728541052 3020483716 3638054736 4530725574 5457082104 6040967432 6796088361 7276109472 9061451148 10914164208 12081934864 13592176722 18122902296 20388265083 21828328416 24163869728 27184353444 36245804592 40776530166 54368706888 61164795249 72491609184 81553060332 108737413776 122329590498 163106120664 183494385747 217474827552 244659180996 326212241328 366988771494 489318361992 652424482656 733977542988 978636723984 1467955085976 1957273447968 2935910171952 5871820343904