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84404199168 = 2832191928093
BaseRepresentation
bin100111010011011100…
…0011101111100000000
322001212021101120110200
41032212320131330000
52340324433333133
6102435202525200
76045420566262
oct1164670357400
9261767346420
1084404199168
1132882a74103
1214436966800
137c61708223
144129a67b32
1522dee86913
hex13a6e1df00

84404199168 has 108 divisors (see below), whose sum is σ = 256166568840. Its totient is φ = 26653943808.

The previous prime is 84404199167. The next prime is 84404199197. The reversal of 84404199168 is 86199140448.

It is a happy number.

84404199168 is a `hidden beast` number, since 8 + 440 + 4 + 199 + 1 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84404199167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 920271 + ... + 1007822.

Almost surely, 284404199168 is an apocalyptic number.

It is an amenable number.

84404199168 is an abundant number, since it is smaller than the sum of its proper divisors (171762369672).

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

84404199168 is a wasteful number, since it uses less digits than its factorization.

84404199168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928134 (or 1928117 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 84404199168 in words is "eighty-four billion, four hundred four million, one hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 14592 21888 43776 1928093 3856186 5784279 7712372 11568558 15424744 17352837 23137116 30849488 34705674 36633767 46274232 61698976 69411348 73267534 92548464 109901301 123397952 138822696 146535068 185096928 219802602 246795904 277645392 293070136 329703903 370193856 439605204 493591808 555290784 586140272 659407806 740387712 879210408 1110581568 1172280544 1318815612 1480775424 1758420816 2221163136 2344561088 2637631224 3516841632 4442326272 4689122176 5275262448 7033683264 9378244352 10550524896 14067366528 21101049792 28134733056 42202099584 84404199168