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60087105056 = 25111035213181
BaseRepresentation
bin110111111101011110…
…000111011000100000
312202002120111012102102
4313331132013120200
51441024244330211
643334215105532
74225004652206
oct677536073040
9182076435372
1060087105056
1123534671410
12b78b0722a8
135887807544
142ca0289076
15186a20ba3b
hexdfd787620

60087105056 has 96 divisors (see below), whose sum is σ = 130594778496. Its totient is φ = 26986752000.

The previous prime is 60087105053. The next prime is 60087105061. The reversal of 60087105056 is 65050178006.

It is a happy number.

It is a super-2 number, since 2×600871050562 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (60087105053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18887786 + ... + 18890966.

It is an arithmetic number, because the mean of its divisors is an integer number (1360362276).

Almost surely, 260087105056 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 60087105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65297389248).

60087105056 is an abundant number, since it is smaller than the sum of its proper divisors (70507673440).

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

60087105056 is a wasteful number, since it uses less digits than its factorization.

60087105056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 60087105056 in words is "sixty billion, eighty-seven million, one hundred five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 176 206 352 412 521 824 1042 1133 1648 2084 2266 3181 3296 4168 4532 5731 6362 8336 9064 11462 12724 16672 18128 22924 25448 34991 36256 45848 50896 53663 69982 91696 101792 107326 139964 183392 214652 279928 327643 429304 559856 590293 655286 858608 1119712 1180586 1310572 1657301 1717216 2361172 2621144 3314602 3604073 4722344 5242288 6629204 7208146 9444688 10484576 13258408 14416292 18230311 18889376 26516816 28832584 36460622 53033632 57665168 72921244 115330336 145842488 170702003 291684976 341404006 583369952 682808012 1365616024 1877722033 2731232048 3755444066 5462464096 7510888132 15021776264 30043552528 60087105056