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1057610106160 = 24546507284261
BaseRepresentation
bin11110110001111100111…
…10011000010100110000
310202002212200000001012121
433120332132120110300
5114311441141344120
62125505343004024
7136260364401136
oct17307636302460
93662780001177
101057610106160
11378591373383
12150b7b599614
137896986805a
143928d74b756
151c79e28c5aa
hexf63e798530

1057610106160 has 40 divisors (see below), whose sum is σ = 2459005019856. Its totient is φ = 423033457920.

The previous prime is 1057610106097. The next prime is 1057610106169. The reversal of 1057610106160 is 616010167501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10576101061602 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057610106169) 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, 3578430 + ... + 3862690.

Almost surely, 21057610106160 is an apocalyptic number.

1057610106160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057610106160 is an abundant number, since it is smaller than the sum of its proper divisors (1401394913696).

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

1057610106160 is a wasteful number, since it uses less digits than its factorization.

1057610106160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330781 (or 330775 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The spelling of 1057610106160 in words is "one trillion, fifty-seven billion, six hundred ten million, one hundred six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 46507 93014 186028 232535 284261 372056 465070 568522 744112 930140 1137044 1421305 1860280 2274088 2842610 3720560 4548176 5685220 11370440 22740880 13220126327 26440252654 52880505308 66100631635 105761010616 132201263270 211522021232 264402526540 528805053080 1057610106160