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27987295960 = 23513103522541
BaseRepresentation
bin11010000100001011…
…000011111011011000
32200020111000221111001
4122010023003323120
5424304221432320
620505052514344
72010360043021
oct320413037330
980214027431
1027987295960
111096210a768
125510a7b9b4
1328403c0470
1414d7003c48
15adc0a720a
hex6842c3ed8

27987295960 has 64 divisors (see below), whose sum is σ = 68473903680. Its totient is φ = 10233423360.

The previous prime is 27987295933. The next prime is 27987295979. The reversal of 27987295960 is 6959278972.

It is a junction number, because it is equal to n+sod(n) for n = 27987295892 and 27987295901.

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, 207711 + ... + 314830.

It is an arithmetic number, because the mean of its divisors is an integer number (1069904745).

Almost surely, 227987295960 is an apocalyptic number.

27987295960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27987295960 is an abundant number, since it is smaller than the sum of its proper divisors (40486607720).

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

27987295960 is a wasteful number, since it uses less digits than its factorization.

27987295960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522668 (or 522664 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 64.

The spelling of 27987295960 in words is "twenty-seven billion, nine hundred eighty-seven million, two hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 103 104 130 206 260 412 515 520 824 1030 1339 2060 2678 4120 5356 6695 10712 13390 26780 53560 522541 1045082 2090164 2612705 4180328 5225410 6793033 10450820 13586066 20901640 27172132 33965165 53821723 54344264 67930330 107643446 135860660 215286892 269108615 271721320 430573784 538217230 699682399 1076434460 1399364798 2152868920 2798729596 3498411995 5597459192 6996823990 13993647980 27987295960