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76059740064 = 25371110289467
BaseRepresentation
bin100011011010110000…
…0111000011110100000
321021022201211010111210
41012311200320132200
52221232243140224
654535200110120
75331555060210
oct1066540703640
9237281733453
1076059740064
112a290816510
12128a8305340
1372319cbc69
143977736240
151ea25e9429
hex11b58387a0

76059740064 has 96 divisors (see below), whose sum is σ = 248922809856. Its totient is φ = 19755774720.

The previous prime is 76059740041. The next prime is 76059740077. The reversal of 76059740064 is 46004795067.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 76059739995 and 76059740022.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5137342 + ... + 5152125.

It is an arithmetic number, because the mean of its divisors is an integer number (2592945936).

Almost surely, 276059740064 is an apocalyptic number.

It is an amenable number.

76059740064 is an abundant number, since it is smaller than the sum of its proper divisors (172863069792).

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

76059740064 is a wasteful number, since it uses less digits than its factorization.

76059740064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10289498 (or 10289490 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 76059740064 in words is "seventy-six billion, fifty-nine million, seven hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 10289467 20578934 30868401 41157868 61736802 72026269 82315736 113184137 123473604 144052538 164631472 216078807 226368274 246947208 288105076 329262944 339552411 432157614 452736548 493894416 576210152 679104822 792288959 864315228 905473096 987788832 1152420304 1358209644 1584577918 1728630456 1810946192 2304840608 2376866877 2716419288 3169155836 3457260912 3621892384 4753733754 5432838576 6338311672 6914521824 9507467508 10865677152 12676623344 19014935016 25353246688 38029870032 76059740064