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3942656136 = 2332233176801
BaseRepresentation
bin1110101100000000…
…0010100010001000
3101011202210200110100
43223000002202020
531033304444021
61451120445400
7166463011206
oct35300024210
911152720410
103942656136
111743587a01
12920479860
134aaa94733
142958a8076
151811e9626
hexeb002888

3942656136 has 96 divisors (see below), whose sum is σ = 11501867520. Its totient is φ = 1216512000.

The previous prime is 3942656119. The next prime is 3942656149. The reversal of 3942656136 is 6316562493.

3942656136 is a `hidden beast` number, since 3 + 9 + 4 + 26 + 5 + 613 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3942656091 and 3942656100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12936 + ... + 89736.

It is an arithmetic number, because the mean of its divisors is an integer number (119811120).

Almost surely, 23942656136 is an apocalyptic number.

3942656136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3942656136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750933760).

3942656136 is an abundant number, since it is smaller than the sum of its proper divisors (7559211384).

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

3942656136 is a wasteful number, since it uses less digits than its factorization.

3942656136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76867 (or 76860 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 3942656136 is about 62790.5736237534. The cubic root of 3942656136 is about 1579.7788688017.

The spelling of 3942656136 in words is "three billion, nine hundred forty-two million, six hundred fifty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 31 36 46 62 69 72 92 93 124 138 184 186 207 248 276 279 372 414 552 558 713 744 828 1116 1426 1656 2139 2232 2852 4278 5704 6417 8556 12834 17112 25668 51336 76801 153602 230403 307204 460806 614408 691209 921612 1382418 1766423 1843224 2380831 2764836 3532846 4761662 5299269 5529672 7065692 7142493 9523324 10598538 14131384 14284986 15897807 19046648 21197076 21427479 28569972 31795614 42394152 42854958 54759113 57139944 63591228 85709916 109518226 127182456 164277339 171419832 219036452 328554678 438072904 492832017 657109356 985664034 1314218712 1971328068 3942656136