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10427427216 = 243324137563
BaseRepresentation
bin10011011011000010…
…11110100110010000
3222220201001012001000
421231201132212100
5132323410132331
64442411542000
7516254445303
oct115541364620
928821035030
1010427427216
114471013448
12203015a900
13ca241299b
1470cc26b3a
1541068d0e6
hex26d85e990

10427427216 has 40 divisors (see below), whose sum is σ = 29930579360. Its totient is φ = 3475808928.

The previous prime is 10427427203. The next prime is 10427427229. The reversal of 10427427216 is 61272472401.

10427427216 is a `hidden beast` number, since 10 + 4 + 2 + 7 + 427 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (10427427203) and next prime (10427427229).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12068350 + ... + 12069213.

It is an arithmetic number, because the mean of its divisors is an integer number (748264484).

Almost surely, 210427427216 is an apocalyptic number.

10427427216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10427427216 is an abundant number, since it is smaller than the sum of its proper divisors (19503152144).

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

10427427216 is a wasteful number, since it uses less digits than its factorization.

10427427216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24137580 (or 24137568 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 10427427216 its reverse (61272472401), we get a palindrome (71699899617).

The spelling of 10427427216 in words is "ten billion, four hundred twenty-seven million, four hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 24137563 48275126 72412689 96550252 144825378 193100504 217238067 289650756 386201008 434476134 579301512 651714201 868952268 1158603024 1303428402 1737904536 2606856804 3475809072 5213713608 10427427216