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76803454815760 = 24517481311733457
BaseRepresentation
bin10001011101101000110010…
…101001000100111000010000
3101001221100010211010212221201
4101131220302221010320100
540031321433413101020
6431203004155400544
722114603131266341
oct2135506251047020
9331840124125851
1076803454815760
1122521186a88502
128745035753154
1333b16c49bc33a
1414d74427760c8
158d2c7a204a0a
hex45da32a44e10

76803454815760 has 80 divisors (see below), whose sum is σ = 189111334086576. Its totient is φ = 28908231819264.

The previous prime is 76803454815757. The next prime is 76803454815767. The reversal of 76803454815760 is 6751845430867.

It can be written as a sum of positive squares in 8 ways, for example, as 937891528704 + 75865563287056 = 968448^2 + 8710084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 76803454815692 and 76803454815701.

It is not an unprimeable number, because it can be changed into a prime (76803454815767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 678952 + ... + 12412408.

Almost surely, 276803454815760 is an apocalyptic number.

It is an amenable number.

76803454815760 is an abundant number, since it is smaller than the sum of its proper divisors (112307879270816).

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

76803454815760 is a wasteful number, since it uses less digits than its factorization.

76803454815760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11738300 (or 11738294 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 64.

The spelling of 76803454815760 in words is "seventy-six trillion, eight hundred three billion, four hundred fifty-four million, eight hundred fifteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 4813 9626 19252 24065 38504 48130 77008 81821 96260 163642 192520 327284 385040 409105 654568 818210 1309136 1636420 3272840 6545680 11733457 23466914 46933828 58667285 93867656 117334570 187735312 199468769 234669140 398937538 469338280 797875076 938676560 997343845 1595750152 1994687690 3191500304 3989375380 7978750760 15957501520 56473128541 112946257082 225892514164 282365642705 451785028328 564731285410 903570056656 960043185197 1129462570820 1920086370394 2258925141640 3840172740788 4517850283280 4800215925985 7680345481576 9600431851970 15360690963152 19200863703940 38401727407880 76803454815760