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11553881157 = 3272132387623
BaseRepresentation
bin10101100001010101…
…00011110001000101
31002211012122222100100
422300222203301011
5142130243144112
65150251434313
7556213240500
oct126052436105
932735588310
1011553881157
114999956a15
1222a5455999
1311218c6590
147b8690137
154794ec2dc
hex2b0aa3c45

11553881157 has 72 divisors (see below), whose sum is σ = 21816273024. Its totient is φ = 5829316416.

The previous prime is 11553881123. The next prime is 11553881159. The reversal of 11553881157 is 75118835511.

11553881157 is a `hidden beast` number, since 1 + 1 + 553 + 8 + 81 + 15 + 7 = 666.

It is not a de Polignac number, because 11553881157 - 210 = 11553880133 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11553881159) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88048 + ... + 175670.

It is an arithmetic number, because the mean of its divisors is an integer number (303003792).

Almost surely, 211553881157 is an apocalyptic number.

It is an amenable number.

11553881157 is a deficient number, since it is larger than the sum of its proper divisors (10262391867).

11553881157 is a wasteful number, since it uses less digits than its factorization.

11553881157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87679 (or 87669 counting only the distinct ones).

The product of its digits is 168000, while the sum is 45.

The spelling of 11553881157 in words is "eleven billion, five hundred fifty-three million, eight hundred eighty-one thousand, one hundred fifty-seven".

Divisors: 1 3 7 9 13 21 23 39 49 63 69 91 117 147 161 207 273 299 441 483 637 819 897 1127 1449 1911 2093 2691 3381 5733 6279 10143 14651 18837 43953 87623 131859 262869 613361 788607 1139099 1840083 2015329 3417297 4293527 5520249 6045987 7973693 10251891 12880581 14107303 18137961 23921079 26199277 38641743 42321909 55815851 71763237 78597831 98751121 126965727 167447553 183394939 235793493 296253363 502342659 550184817 888760089 1283764573 1650554451 3851293719 11553881157