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111719478816 = 253211172074411
BaseRepresentation
bin110100000001011111…
…1111111011000100000
3101200100220220112212200
41220002333333120200
53312300141310231
6123153452053200
711033340621141
oct1500277773040
9350326815780
10111719478816
114341a807a90
121979a764200
13a6c58065aa
14559b6d9ac8
152d8d047be6
hex1a02fff620

111719478816 has 144 divisors (see below), whose sum is σ = 366971780448. Its totient is φ = 31862937600.

The previous prime is 111719478803. The next prime is 111719478841. The reversal of 111719478816 is 618874917111.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 983350 + ... + 1091061.

It is an arithmetic number, because the mean of its divisors is an integer number (2548415142).

Almost surely, 2111719478816 is an apocalyptic number.

111719478816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

111719478816 is an abundant number, since it is smaller than the sum of its proper divisors (255252301632).

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

111719478816 is a wasteful number, since it uses less digits than its factorization.

111719478816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074455 (or 2074444 counting only the distinct ones).

The product of its digits is 677376, while the sum is 54.

The spelling of 111719478816 in words is "one hundred eleven billion, seven hundred nineteen million, four hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1056 1122 1224 1496 1584 1632 1683 2244 2448 2992 3168 3366 4488 4896 5984 6732 8976 13464 17952 26928 53856 2074411 4148822 6223233 8297644 12446466 16595288 18669699 22818521 24892932 33190576 35264987 37339398 45637042 49785864 66381152 68455563 70529974 74678796 91274084 99571728 105794961 136911126 141059948 149357592 182548168 199143456 205366689 211589922 273822252 282119896 298715184 317384883 365096336 387914857 410733378 423179844 547644504 564239792 597430368 634769766 730192672 775829714 821466756 846359688 1095289008 1128479584 1163744571 1269539532 1551659428 1642933512 1692719376 2190578016 2327489142 2539079064 3103318856 3285867024 3385438752 3491233713 4654978284 5078158128 6206637712 6571734048 6982467426 9309956568 10156316256 12413275424 13964934852 18619913136 27929869704 37239826272 55859739408 111719478816