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76446996912 = 243311131237487
BaseRepresentation
bin100011100110010011…
…0001001100110110000
321022022201111211001000
41013030212021212300
52223030412400122
655041432242000
75344266516006
oct1071446114660
9238281454030
1076446996912
112a46a3782a0
1212995b40300
137293ccb220
1439b2d40a76
151ec65e20ac
hex11cc9899b0

76446996912 has 160 divisors (see below), whose sum is σ = 257793500160. Its totient is φ = 21383758080.

The previous prime is 76446996881. The next prime is 76446996917. The reversal of 76446996912 is 21969964467.

76446996912 is a `hidden beast` number, since 76 + 4 + 469 + 96 + 9 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76446996912.

It is not an unprimeable number, because it can be changed into a prime (76446996917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556968 + ... + 680519.

It is an arithmetic number, because the mean of its divisors is an integer number (1611209376).

Almost surely, 276446996912 is an apocalyptic number.

76446996912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76446996912 is an abundant number, since it is smaller than the sum of its proper divisors (181346503248).

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

76446996912 is a wasteful number, since it uses less digits than its factorization.

76446996912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237528 (or 1237516 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 76446996912 in words is "seventy-six billion, four hundred forty-six million, nine hundred ninety-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 936 1144 1188 1287 1404 1584 1716 1872 2288 2376 2574 2808 3432 3861 4752 5148 5616 6864 7722 10296 15444 20592 30888 61776 1237487 2474974 3712461 4949948 7424922 9899896 11137383 13612357 14849844 16087331 19799792 22274766 27224714 29699688 32174662 33412149 40837071 44549532 48261993 54449428 59399376 64349324 66824298 81674142 89099064 96523986 108898856 122511213 128698648 133648596 144785979 163348284 176960641 178198128 193047972 217797712 245022426 257397296 267297192 289571958 326696568 353921282 367533639 386095944 434357937 490044852 530881923 534594384 579143916 653393136 707842564 735067278 772191888 868715874 980089704 1061763846 1158287832 1415685128 1470134556 1592645769 1737431748 1960179408 2123527692 2316575664 2831370256 2940269112 3185291538 3474863496 4247055384 4777937307 5880538224 6370583076 6949726992 8494110768 9555874614 12741166152 19111749228 25482332304 38223498456 76446996912