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156990104764416 = 215347111940429
BaseRepresentation
bin100011101100100000011011…
…011011011000000000000000
3202120212002220022210201110000
4203230200123123120000000
5131034111213304430131
61313520131500240000
745032106100666350
oct4354403333300000
9676762808721400
10156990104764416
1146027147463660
1215735898540000
13697a1460c8351
142aaa50c3a0b60
151323a16066ce6
hex8ec81b6d8000

156990104764416 has 1280 divisors, whose sum is σ = 615550437216000. Its totient is φ = 38629555568640.

The previous prime is 156990104764387. The next prime is 156990104764477. The reversal of 156990104764416 is 614467401099651.

156990104764416 is a `hidden beast` number, since 1 + 5 + 69 + 90 + 1 + 0 + 4 + 76 + 4 + 416 = 666.

It is a super-2 number, since 2×1569901047644162 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 3883086090 + ... + 3883126518.

It is an arithmetic number, because the mean of its divisors is an integer number (480898779075).

Almost surely, 2156990104764416 is an apocalyptic number.

156990104764416 is a gapful number since it is divisible by the number (16) 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 156990104764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307775218608000).

156990104764416 is an abundant number, since it is smaller than the sum of its proper divisors (458560332451584).

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

156990104764416 is an equidigital number, since it uses as much as digits as its factorization.

156990104764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40508 (or 40471 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 156990104764416 in words is "one hundred fifty-six trillion, nine hundred ninety billion, one hundred four million, seven hundred sixty-four thousand, four hundred sixteen".