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10642280058 = 23217110331531
BaseRepresentation
bin10011110100101010…
…00100111001111010
31000110200022211201200
421322111010321322
5133243410430213
64520004555030
7524503613364
oct117225047172
930420284650
1010642280058
114571320583
1220900b2a76
131007a9a647
1472d593d34
1542447d273
hex27a544e7a

10642280058 has 48 divisors (see below), whose sum is σ = 24437552256. Its totient is φ = 3335621760.

The previous prime is 10642280053. The next prime is 10642280069. The reversal of 10642280058 is 85008224601.

10642280058 is a `hidden beast` number, since 1 + 0 + 642 + 2 + 8 + 0 + 0 + 5 + 8 = 666.

It is a super-2 number, since 2×106422800582 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10642280053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321753 + ... + 353283.

It is an arithmetic number, because the mean of its divisors is an integer number (509115672).

Almost surely, 210642280058 is an apocalyptic number.

10642280058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10642280058 is an abundant number, since it is smaller than the sum of its proper divisors (13795272198).

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

10642280058 is a wasteful number, since it uses less digits than its factorization.

10642280058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32659 (or 32656 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10642280058 in words is "ten billion, six hundred forty-two million, two hundred eighty thousand, fifty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1103 2206 3309 6618 9927 18751 19854 31531 37502 56253 63062 94593 112506 168759 189186 283779 337518 536027 567558 1072054 1608081 3216162 4824243 9648486 34778693 69557386 104336079 208672158 313008237 591237781 626016474 1182475562 1773713343 3547426686 5321140029 10642280058