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6423665605104 = 2431173479347929
BaseRepresentation
bin101110101111010000001…
…0011100111100111110000
3211202002121022010020000210
41131132200103213213300
51320221131343330404
621354554035144120
71232044264511346
oct135364023474760
924662538106023
106423665605104
112057296851180
12878b48745040
13377997916167
14182c9b023996
15b216331c689
hex5d7a04e79f0

6423665605104 has 160 divisors (see below), whose sum is σ = 18389408716800. Its totient is φ = 1915886407680.

The previous prime is 6423665605099. The next prime is 6423665605121. The reversal of 6423665605104 is 4015065663246.

It is a super-2 number, since 2×64236656051042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18288612 + ... + 18636540.

It is an arithmetic number, because the mean of its divisors is an integer number (114933804480).

Almost surely, 26423665605104 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 6423665605104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194704358400).

6423665605104 is an abundant number, since it is smaller than the sum of its proper divisors (11965743111696).

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

6423665605104 is a wasteful number, since it uses less digits than its factorization.

6423665605104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348503 (or 348497 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 6423665605104 in words is "six trillion, four hundred twenty-three billion, six hundred sixty-five million, six hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 132 146 176 219 264 292 438 479 528 584 803 876 958 1168 1437 1606 1752 1916 2409 2874 3212 3504 3832 4818 5269 5748 6424 7664 9636 10538 11496 12848 15807 19272 21076 22992 31614 34967 38544 42152 63228 69934 84304 104901 126456 139868 209802 252912 279736 347929 384637 419604 559472 695858 769274 839208 1043787 1153911 1391716 1538548 1678416 2087574 2307822 2783432 3077096 3827219 4175148 4615644 5566864 6154192 7654438 8350296 9231288 11481657 15308876 16700592 18462576 22963314 25398817 30617752 45926628 50797634 61235504 76196451 91853256 101595268 152392902 166657991 183706512 203190536 279386987 304785804 333315982 406381072 499973973 558773974 609571608 666631964 838160961 999947946 1117547948 1219143216 1333263928 1676321922 1833237901 1999895892 2235095896 2666527856 3352643844 3666475802 3999791784 4470191792 5499713703 6705287688 7332951604 7999583568 10999427406 12166033343 13410575376 14665903208 21998854812 24332066686 29331806416 36498100029 43997709624 48664133372 72996200058 87995419248 97328266744 133826366773 145992400116 194656533488 267652733546 291984800232 401479100319 535305467092 583969600464 802958200638 1070610934184 1605916401276 2141221868368 3211832802552 6423665605104