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93341192004 = 223219794873547
BaseRepresentation
bin101011011101110010…
…0011000111101000100
322220221002220211220100
41112323210120331010
53012130321121004
6110514053404100
76513040020054
oct1267344307504
9286832824810
1093341192004
11366497400a5
121610b939630
138a570c7878
14473695b564
152664869739
hex15bb918f44

93341192004 has 144 divisors (see below), whose sum is σ = 252095334400. Its totient is φ = 29035101888.

The previous prime is 93341191981. The next prime is 93341192041. The reversal of 93341192004 is 40029114339.

93341192004 is a `hidden beast` number, since 9 + 33 + 411 + 9 + 200 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 93341192004.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26313759 + ... + 26317305.

Almost surely, 293341192004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93341192004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126047667200).

93341192004 is an abundant number, since it is smaller than the sum of its proper divisors (158754142396).

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

93341192004 is a wasteful number, since it uses less digits than its factorization.

93341192004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 93341192004 in words is "ninety-three billion, three hundred forty-one million, one hundred ninety-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 79 114 158 171 228 237 316 342 474 487 684 711 948 974 1422 1461 1501 1948 2844 2922 3002 3547 4383 4503 5844 6004 7094 8766 9006 9253 10641 13509 14188 17532 18012 18506 21282 27018 27759 31923 37012 38473 42564 54036 55518 63846 67393 76946 83277 111036 115419 127692 134786 153892 166554 202179 230838 269572 280213 333108 346257 404358 461676 560426 606537 692514 730987 808716 840639 1120852 1213074 1385028 1461974 1681278 1727389 2192961 2426148 2521917 2923948 3362556 3454778 4385922 5043834 5182167 5324047 6578883 6909556 8771844 10087668 10364334 10648094 13157766 15546501 15972141 20728668 21296188 26315532 31093002 31944282 32820391 47916423 62186004 63888564 65640782 95832846 98461173 131281564 136463731 191665692 196922346 272927462 295383519 393844692 409391193 545854924 590767038 818782386 1181534076 1228173579 1637564772 2456347158 2592810889 4912694316 5185621778 7778432667 10371243556 15556865334 23335298001 31113730668 46670596002 93341192004