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168237911654016 = 2732391833136241
BaseRepresentation
bin100110010000001011110000…
…111101100011111010000000
3211001200101110022211200222120
4212100023300331203322000
5134022402220340412031
61353451232445404240
750302534200036621
oct4620136075437200
9731611408750876
10168237911654016
11496733301a2486
1216a51774269680
1372b49c811c809
142d78a88d81a48
15146b3c2c2ea96
hex9902f0f63e80

168237911654016 has 64 divisors (see below), whose sum is σ = 448751752041600. Its totient is φ = 55844662415360.

The previous prime is 168237911654009. The next prime is 168237911654017. The reversal of 168237911654016 is 610456119732861.

168237911654016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (168237911654017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 916476345 + ... + 916659896.

It is an arithmetic number, because the mean of its divisors is an integer number (7011746125650).

It is a 1-persistent number, because it is pandigital, but 2⋅168237911654016 = 336475823308032 is not.

Almost surely, 2168237911654016 is an apocalyptic number.

168237911654016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

168237911654016 is an abundant number, since it is smaller than the sum of its proper divisors (280513840387584).

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

168237911654016 is a wasteful number, since it uses less digits than its factorization.

168237911654016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833136497 (or 1833136485 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 168237911654016 in words is "one hundred sixty-eight trillion, two hundred thirty-seven billion, nine hundred eleven million, six hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 384 478 717 956 1434 1912 2868 3824 5736 7648 11472 15296 22944 30592 45888 91776 1833136241 3666272482 5499408723 7332544964 10998817446 14665089928 21997634892 29330179856 43995269784 58660359712 87990539568 117320719424 175981079136 234641438848 351962158272 438119561599 703924316544 876239123198 1314358684797 1752478246396 2628717369594 3504956492792 5257434739188 7009912985584 10514869478376 14019825971168 21029738956752 28039651942336 42059477913504 56079303884672 84118955827008 168237911654016