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11131755642 = 2377363569
BaseRepresentation
bin10100101111000000…
…10001110001111010
31001201210100210000000
422113200101301322
5140244212140032
65040332053430
7542566235040
oct122740216172
931653323000
1011131755642
1147a2649857
1221a8004276
131085309277
147785aa390
15452417e7c
hex297811c7a

11131755642 has 64 divisors (see below), whose sum is σ = 28620230400. Its totient is φ = 3180492864.

The previous prime is 11131755637. The next prime is 11131755643. The reversal of 11131755642 is 24655713111.

11131755642 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 7 + 5 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11131755597 and 11131755606.

It is not an unprimeable number, because it can be changed into a prime (11131755643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151167 + ... + 212402.

It is an arithmetic number, because the mean of its divisors is an integer number (447191100).

Almost surely, 211131755642 is an apocalyptic number.

11131755642 is an abundant number, since it is smaller than the sum of its proper divisors (17488474758).

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

11131755642 is an frugal number, since it uses more digits than its factorization.

11131755642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363599 (or 363581 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The spelling of 11131755642 in words is "eleven billion, one hundred thirty-one million, seven hundred fifty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 2187 3402 4374 5103 10206 15309 30618 363569 727138 1090707 2181414 2544983 3272121 5089966 6544242 7634949 9816363 15269898 19632726 22904847 29449089 45809694 58898178 68714541 88347267 137429082 176694534 206143623 265041801 412287246 530083602 618430869 795125403 1236861738 1590250806 1855292607 3710585214 5565877821 11131755642