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1157954947056 = 243211371162423
BaseRepresentation
bin10000110110011011011…
…111100100011111110000
311002200212212112010020100
4100312123133210133300
5122432442431301211
62243542425112400
7146442126435525
oct20663337443760
94080785463210
101157954947056
114070a441a556
12168504928700
138526b94565b
144008c4d514c
15201c38e2156
hex10d9b7e47f0

1157954947056 has 60 divisors (see below), whose sum is σ = 3269344083408. Its totient is φ = 382569180672.

The previous prime is 1157954947043. The next prime is 1157954947133. The reversal of 1157954947056 is 6507494597511.

1157954947056 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 95 + 494 + 7 + 0 + 56 = 666.

It is a super-2 number, since 2×11579549470562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1157954946984 and 1157954947002.

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 11 ways as a sum of consecutive naturals, for example, 35564940 + ... + 35597483.

Almost surely, 21157954947056 is an apocalyptic number.

1157954947056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1157954947056 is an abundant number, since it is smaller than the sum of its proper divisors (2111389136352).

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

1157954947056 is a wasteful number, since it uses less digits than its factorization.

1157954947056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71162550 (or 71162541 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 1157954947056 in words is "one trillion, one hundred fifty-seven billion, nine hundred fifty-four million, nine hundred forty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 71162423 142324846 213487269 284649692 426974538 569299384 640461807 853949076 1138598768 1280923614 1707898152 2561847228 3415796304 5123694456 8041353799 10247388912 16082707598 24124061397 32165415196 48248122794 64330830392 72372184191 96496245588 128661660784 144744368382 192992491176 289488736764 385984982352 578977473528 1157954947056