Search a number
-
+
57160576131160 = 23510735099380503
BaseRepresentation
bin11001111111100101110111…
…10101011110000001011000
321111101111102211102212220011
430333302323311132001120
524443004324442144120
6321323112310411304
715016500235322245
oct1477627365360130
9244344384385804
1057160576131160
1117238734064447
1264b2129360b34
1325b82b0777718
14101882da865cc
15691d276a1c5a
hex33fcbbd5e058

57160576131160 has 64 divisors (see below), whose sum is σ = 129817310688000. Its totient is φ = 22649841196416.

The previous prime is 57160576131119. The next prime is 57160576131203. The reversal of 57160576131160 is 6113167506175.

It is a super-2 number, since 2×571605761311602 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150033469 + ... + 150413971.

It is an arithmetic number, because the mean of its divisors is an integer number (2028395479500).

Almost surely, 257160576131160 is an apocalyptic number.

It is an amenable number.

57160576131160 is an abundant number, since it is smaller than the sum of its proper divisors (72656734556840).

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

57160576131160 is a wasteful number, since it uses less digits than its factorization.

57160576131160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415720 (or 415716 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 49.

The spelling of 57160576131160 in words is "fifty-seven trillion, one hundred sixty billion, five hundred seventy-six million, one hundred thirty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 535 856 1070 2140 4280 35099 70198 140396 175495 280792 350990 380503 701980 761006 1403960 1522012 1902515 3044024 3755593 3805030 7511186 7610060 15022372 15220120 18777965 30044744 37555930 40713821 75111860 81427642 150223720 162855284 203569105 325710568 407138210 814276420 1628552840 13355274797 26710549594 53421099188 66776373985 106842198376 133552747970 267105495940 534210991880 1429014403279 2858028806558 5716057613116 7145072016395 11432115226232 14290144032790 28580288065580 57160576131160