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18926960266368 = 273573111753179
BaseRepresentation
bin1000100110110110001101…
…01111100100110010000000
32111000101210101220011200000
410103123012233210302000
54440044403312010433
6104130531524400000
73662266501542000
oct423330657446200
974011711804600
1018926960266368
116037973711220
122158208846000
13a73a5cbb6acb
144960d9612000
1522c50121c113
hex1136c6be4c80

18926960266368 has 3072 divisors, whose sum is σ = 77950978560000. Its totient is φ = 4514250424320.

The previous prime is 18926960266363. The next prime is 18926960266387. The reversal of 18926960266368 is 86366206962981.

18926960266368 is a `hidden beast` number, since 1 + 8 + 9 + 2 + 6 + 9 + 602 + 6 + 6 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×189269602663682 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18926960266296 and 18926960266305.

It is not an unprimeable number, because it can be changed into a prime (18926960266363) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 105737208103 + ... + 105737208281.

It is an arithmetic number, because the mean of its divisors is an integer number (25374667500).

Almost surely, 218926960266368 is an apocalyptic number.

18926960266368 is a gapful number since it is divisible by the number (18) 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 18926960266368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38975489280000).

18926960266368 is an abundant number, since it is smaller than the sum of its proper divisors (59024018293632).

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

18926960266368 is a wasteful number, since it uses less digits than its factorization.

18926960266368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 18926960266368 in words is "eighteen trillion, nine hundred twenty-six billion, nine hundred sixty million, two hundred sixty-six thousand, three hundred sixty-eight".