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1150495881664 = 2661330789113
BaseRepresentation
bin10000101111011110111…
…001011111100111000000
311001222122000222100010011
4100233132321133213000
5122322203421203124
62240310331314304
7146056234432303
oct20573671374700
94058560870104
101150495881664
11403a16a282a8
12166b828ab994
13846504ba6ac
143d9819dab3a
151edd8b48994
hex10bdee5f9c0

1150495881664 has 56 divisors (see below), whose sum is σ = 2321169467888. Its totient is φ = 565640202240.

The previous prime is 1150495881643. The next prime is 1150495881677. The reversal of 1150495881664 is 4661885940511.

It is a junction number, because it is equal to n+sod(n) for n = 1150495881599 and 1150495881608.

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 7 ways as a sum of consecutive naturals, for example, 12865972 + ... + 12955084.

Almost surely, 21150495881664 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 1150495881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160584733944).

1150495881664 is an abundant number, since it is smaller than the sum of its proper divisors (1170673586224).

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

1150495881664 is an equidigital number, since it uses as much as digits as its factorization.

1150495881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92493 (or 92483 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 58.

The spelling of 1150495881664 in words is "one trillion, one hundred fifty billion, four hundred ninety-five million, eight hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3307 3904 6614 13228 26456 52912 89113 105824 178226 201727 211648 356452 403454 712904 806908 1425808 1613816 2851616 3227632 5435893 5703232 6455264 10871786 12910528 21743572 43487144 86974288 173948576 294696691 347897152 589393382 1178786764 2357573528 4715147056 9430294112 17976498151 18860588224 35952996302 71905992604 143811985208 287623970416 575247940832 1150495881664