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73856403852 = 223721179144541
BaseRepresentation
bin100010011001000101…
…1110100100110001100
321001122011212001102220
41010302023310212030
52202224214410402
653532411015340
75223142034400
oct1046213644614
9231564761386
1073856403852
11293600183a0
121239243a550
136c7039cc1a
143808c6b100
151dc3e6ddbc
hex11322f498c

73856403852 has 144 divisors (see below), whose sum is σ = 221461470720. Its totient is φ = 18940521600.

The previous prime is 73856403827. The next prime is 73856403857. The reversal of 73856403852 is 25830465837.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73856403795 and 73856403804.

It is not an unprimeable number, because it can be changed into a prime (73856403857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438702 + ... + 583242.

It is an arithmetic number, because the mean of its divisors is an integer number (1537926880).

Almost surely, 273856403852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73856403852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110730735360).

73856403852 is an abundant number, since it is smaller than the sum of its proper divisors (147605066868).

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

73856403852 is a wasteful number, since it uses less digits than its factorization.

73856403852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144652 (or 144643 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 73856403852 in words is "seventy-three billion, eight hundred fifty-six million, four hundred three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 79 84 98 132 147 154 158 196 231 237 294 308 316 462 474 539 553 588 869 924 948 1078 1106 1617 1659 1738 2156 2212 2607 3234 3318 3476 3871 5214 6083 6468 6636 7742 10428 11613 12166 15484 18249 23226 24332 36498 42581 46452 72996 85162 127743 144541 170324 255486 289082 433623 510972 578164 867246 1011787 1589951 1734492 2023574 3035361 3179902 4047148 4769853 6070722 6359804 7082509 9539706 11129657 11418739 12141444 14165018 19079412 21247527 22259314 22837478 28330036 33388971 34256217 42495054 44518628 45674956 66777942 68512434 77907599 79931173 84990108 125606129 133555884 137024868 155815198 159862346 233722797 239793519 251212258 311630396 319724692 376818387 467445594 479587038 502424516 559518211 753636774 879242903 934891188 959174076 1119036422 1507273548 1678554633 1758485806 2238072844 2637728709 3357109266 3516971612 5275457418 6154700321 6714218532 10550914836 12309400642 18464100963 24618801284 36928201926 73856403852