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42386457216 = 273110381399
BaseRepresentation
bin100111011110011011…
…100000001010000000
311001101222121010100210
4213132123200022000
51143301413112331
631245544514120
73030242641005
oct473633401200
9131358533323
1042386457216
1116a81060734
12826b17b940
133cc6608c1c
1420a15038ac
151181285446
hex9de6e0280

42386457216 has 32 divisors (see below), whose sum is σ = 112589028000. Its totient is φ = 14128818944.

The previous prime is 42386457203. The next prime is 42386457227. The reversal of 42386457216 is 61275468324.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×423864572162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55190316 + ... + 55191083.

It is an arithmetic number, because the mean of its divisors is an integer number (3518407125).

Almost surely, 242386457216 is an apocalyptic number.

It is an amenable number.

42386457216 is an abundant number, since it is smaller than the sum of its proper divisors (70202570784).

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

42386457216 is a wasteful number, since it uses less digits than its factorization.

42386457216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110381416 (or 110381404 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 42386457216 in words is "forty-two billion, three hundred eighty-six million, four hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 110381399 220762798 331144197 441525596 662288394 883051192 1324576788 1766102384 2649153576 3532204768 5298307152 7064409536 10596614304 14128819072 21193228608 42386457216