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268228376136 = 233271314062589
BaseRepresentation
bin1111100111001110101…
…0000011011001001000
3221122100022000022022100
43321303222003121020
513343312431014021
6323120012553400
725243643402340
oct3716352033110
9848308008270
10268228376136
11a3833a20016
1243b99182860
131c3a8700586
14cda76c9d20
156e9d284626
hex3e73a83648

268228376136 has 96 divisors (see below), whose sum is σ = 836568532800. Its totient is φ = 76051647360.

The previous prime is 268228376123. The next prime is 268228376137. The reversal of 268228376136 is 631673822862.

268228376136 is a `hidden beast` number, since 268 + 2 + 2 + 8 + 376 + 1 + 3 + 6 = 666.

268228376136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (268228376137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1965271 + ... + 2097318.

It is an arithmetic number, because the mean of its divisors is an integer number (8714255550).

Almost surely, 2268228376136 is an apocalyptic number.

It is an amenable number.

268228376136 is an abundant number, since it is smaller than the sum of its proper divisors (568340156664).

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

268228376136 is a wasteful number, since it uses less digits than its factorization.

268228376136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062739 (or 4062732 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 268228376136 in words is "two hundred sixty-eight billion, two hundred twenty-eight million, three hundred seventy-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 131 168 252 262 393 504 524 786 917 1048 1179 1572 1834 2358 2751 3144 3668 4716 5502 7336 8253 9432 11004 16506 22008 33012 66024 4062589 8125178 12187767 16250356 24375534 28438123 32500712 36563301 48751068 56876246 73126602 85314369 97502136 113752492 146253204 170628738 227504984 255943107 292506408 341257476 511886214 532199159 682514952 1023772428 1064398318 1596597477 2047544856 2128796636 3193194954 3725394113 4257593272 4789792431 6386389908 7450788226 9579584862 11176182339 12772779816 14901576452 19159169724 22352364678 29803152904 33528547017 38318339448 44704729356 67057094034 89409458712 134114188068 268228376136