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76530515712 = 283717598093
BaseRepresentation
bin100011101000110010…
…0101111111100000000
321022112112200000021220
41013101210233330000
52223213303000322
655054014315040
75346332436030
oct1072144577400
9238475600256
1076530515712
112a5025321a2
12129b9ab8a80
1372a83c1131
1439c00818c0
151ecdadd55c
hex11d192ff00

76530515712 has 144 divisors (see below), whose sum is σ = 232941434880. Its totient is φ = 21850730496.

The previous prime is 76530515683. The next prime is 76530515771. The reversal of 76530515712 is 21751503567.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9452338 + ... + 9460430.

Almost surely, 276530515712 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 76530515712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116470717440).

76530515712 is an abundant number, since it is smaller than the sum of its proper divisors (156410919168).

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

76530515712 is a wasteful number, since it uses less digits than its factorization.

76530515712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9878 (or 9864 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 42.

The spelling of 76530515712 in words is "seventy-six billion, five hundred thirty million, five hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1759 1792 2688 3518 5277 5376 7036 8093 10554 12313 14072 16186 21108 24279 24626 28144 32372 36939 42216 48558 49252 56288 56651 64744 73878 84432 97116 98504 112576 113302 129488 147756 168864 169953 194232 197008 225152 226604 258976 295512 337728 339906 388464 394016 450304 453208 517952 591024 675456 679812 776928 788032 906416 1035904 1182048 1350912 1359624 1553856 1576064 1812832 2071808 2364096 2719248 3107712 3152128 3625664 4728192 5438496 6215424 7251328 9456384 10876992 14235587 14502656 21753984 28471174 42706761 43507968 56942348 85413522 99649109 113884696 170827044 199298218 227769392 298947327 341654088 398596436 455538784 597894654 683308176 797192872 911077568 1195789308 1366616352 1594385744 1822155136 2391578616 2733232704 3188771488 3644310272 4783157232 5466465408 6377542976 9566314464 10932930816 12755085952 19132628928 25510171904 38265257856 76530515712