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538675108704 = 2534593350459
BaseRepresentation
bin1111101011010111000…
…10011101101101100000
31220111102012020210120000
413311223202131231200
532311201311434304
61051244113020000
753626604606325
oct7655342355540
91814365223500
10538675108704
111984a6068057
1288495254600
133ba4888b795
141c101870b4c
15e02b15e939
hex7d6b89db60

538675108704 has 120 divisors (see below), whose sum is σ = 1586904608520. Its totient is φ = 179255061504.

The previous prime is 538675108669. The next prime is 538675108711. The reversal of 538675108704 is 407801576835.

It is a happy number.

538675108704 is a `hidden beast` number, since 53 + 8 + 6 + 7 + 510 + 8 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1361827 + ... + 1712285.

It is an arithmetic number, because the mean of its divisors is an integer number (13224205071).

Almost surely, 2538675108704 is an apocalyptic number.

538675108704 is a gapful number since it is divisible by the number (54) 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 538675108704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793452304260).

538675108704 is an abundant number, since it is smaller than the sum of its proper divisors (1048229499816).

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

538675108704 is a wasteful number, since it uses less digits than its factorization.

538675108704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351074 (or 351057 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 538675108704 in words is "five hundred thirty-eight billion, six hundred seventy-five million, one hundred eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 593 648 864 1186 1296 1779 2372 2592 3558 4744 5337 7116 9488 10674 14232 16011 18976 21348 28464 32022 42696 48033 56928 64044 85392 96066 128088 170784 192132 256176 350459 384264 512352 700918 768528 1051377 1401836 1537056 2102754 2803672 3154131 4205508 5607344 6308262 8411016 9462393 11214688 12616524 16822032 18924786 25233048 28387179 33644064 37849572 50466096 56774358 75699144 100932192 113548716 151398288 207822187 227097432 302796576 415644374 454194864 623466561 831288748 908389728 1246933122 1662577496 1870399683 2493866244 3325154992 3740799366 4987732488 5611199049 6650309984 7481598732 9975464976 11222398098 14963197464 16833597147 19950929952 22444796196 29926394928 33667194294 44889592392 59852789856 67334388588 89779184784 134668777176 179558369568 269337554352 538675108704