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920917500138 = 232891487386587
BaseRepresentation
bin11010110011010101111…
…01011110000011101010
310021001001022202012001200
431121222331132003222
5110042014340001023
61543021430025030
7123351123410646
oct15315275360352
93231038665050
10920917500138
11325616a14299
1212a5914a8176
1368ac4276a1c
14328034a1c26
1518e4dace743
hexd66af5e0ea

920917500138 has 48 divisors (see below), whose sum is σ = 2019102733440. Its totient is φ = 303318468288.

The previous prime is 920917500137. The next prime is 920917500161. The reversal of 920917500138 is 831005719029.

920917500138 is a `hidden beast` number, since 9 + 2 + 0 + 9 + 1 + 7 + 500 + 138 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 920917500093 and 920917500102.

It is not an unprimeable number, because it can be changed into a prime (920917500137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2188881 + ... + 2575467.

It is an arithmetic number, because the mean of its divisors is an integer number (42064640280).

Almost surely, 2920917500138 is an apocalyptic number.

920917500138 is an abundant number, since it is smaller than the sum of its proper divisors (1098185233302).

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

920917500138 is a wasteful number, since it uses less digits than its factorization.

920917500138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388171 (or 388168 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 920917500138 in words is "nine hundred twenty billion, nine hundred seventeen million, five hundred thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1487 1602 2974 4461 8922 13383 26766 132343 264686 386587 397029 773174 794058 1159761 1191087 2319522 2382174 3479283 6958566 34406243 68812486 103218729 206437458 309656187 574854869 619312374 1149709738 1724564607 3449129214 5173693821 10347387642 51162083341 102324166682 153486250023 306972500046 460458750069 920917500138