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96763689528 = 233112366124109
BaseRepresentation
bin101101000011110010…
…0001011101000111000
3100020202121221201212220
41122013210023220320
53041133001031103
6112241433404040
76663615535002
oct1320744135070
9306677851786
1096763689528
1138045642150
1216905b69620
13918119982c
14497d303372
1527b5067c53
hex168790ba38

96763689528 has 128 divisors (see below), whose sum is σ = 275802969600. Its totient is φ = 28003852800.

The previous prime is 96763689409. The next prime is 96763689593. The reversal of 96763689528 is 82598636769.

It is a super-2 number, since 2×967636895282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

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 31 ways as a sum of consecutive naturals, for example, 4001538 + ... + 4025646.

It is an arithmetic number, because the mean of its divisors is an integer number (2154710700).

Almost surely, 296763689528 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 96763689528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137901484800).

96763689528 is an abundant number, since it is smaller than the sum of its proper divisors (179039280072).

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

96763689528 is a wasteful number, since it uses less digits than its factorization.

96763689528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24813 (or 24809 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 69.

The spelling of 96763689528 in words is "ninety-six billion, seven hundred sixty-three million, six hundred eighty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 661 759 1012 1322 1518 1983 2024 2644 3036 3966 5288 6072 7271 7932 14542 15203 15864 21813 24109 29084 30406 43626 45609 48218 58168 60812 72327 87252 91218 96436 121624 144654 167233 174504 182436 192872 265199 289308 334466 364872 501699 530398 554507 578616 668932 795597 1003398 1060796 1109014 1337864 1591194 1663521 2006796 2121592 2218028 3182388 3327042 4013592 4436056 6099577 6364776 6654084 12199154 13308168 15936049 18298731 24398308 31872098 36597462 47808147 48796616 63744196 73194924 95616294 127488392 146389848 175296539 191232588 350593078 366529127 382465176 525889617 701186156 733058254 1051779234 1099587381 1402372312 1466116508 2103558468 2199174762 2932233016 4031820397 4207116936 4398349524 8063640794 8796699048 12095461191 16127281588 24190922382 32254563176 48381844764 96763689528