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83379575568 = 24331613672503
BaseRepresentation
bin100110110100111001…
…1110101101100010000
321222012212101022010110
41031221303311230100
52331230132404233
6102145401401320
76011136461412
oct1155163655420
9258185338113
1083379575568
11323a7662243
12141ab799240
137b2a359283
14406d94a9b2
15228003e663
hex1369cf5b10

83379575568 has 160 divisors (see below), whose sum is σ = 226696855552. Its totient is φ = 26373081600.

The previous prime is 83379575501. The next prime is 83379575569. The reversal of 83379575568 is 86557597338.

It is a junction number, because it is equal to n+sod(n) for n = 83379575499 and 83379575508.

It is not an unprimeable number, because it can be changed into a prime (83379575569) 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 31 ways as a sum of consecutive naturals, for example, 33310605 + ... + 33313107.

Almost surely, 283379575568 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 83379575568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113348427776).

83379575568 is an abundant number, since it is smaller than the sum of its proper divisors (143317279984).

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

83379575568 is a wasteful number, since it uses less digits than its factorization.

83379575568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2967 counting only the distinct ones).

The product of its digits is 190512000, while the sum is 66.

The spelling of 83379575568 in words is "eighty-three billion, three hundred seventy-nine million, five hundred seventy-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 61 62 93 122 124 183 186 244 248 366 367 372 488 496 732 734 744 976 1101 1464 1468 1488 1891 2202 2503 2928 2936 3782 4404 5006 5673 5872 7509 7564 8808 10012 11346 11377 15018 15128 17616 20024 22387 22692 22754 30036 30256 34131 40048 44774 45384 45508 60072 67161 68262 77593 89548 90768 91016 120144 134322 136524 152683 155186 179096 182032 232779 268644 273048 305366 310372 358192 458049 465558 537288 546096 610732 620744 693997 916098 918601 931116 1074576 1221464 1241488 1387994 1832196 1837202 1862232 2081991 2442928 2755803 2775988 3664392 3674404 3724464 4163982 4733173 5511606 5551976 7328784 7348808 8327964 9466346 11023212 11103952 14199519 14697616 16655928 18932692 22046424 28399038 28476631 33311856 37865384 44092848 56034661 56798076 56953262 75730768 85429893 112069322 113596152 113906524 168103983 170859786 224138644 227192304 227813048 336207966 341719572 448277288 455626096 672415932 683439144 896554576 1344831864 1366878288 1737074491 2689663728 3474148982 5211223473 6948297964 10422446946 13896595928 20844893892 27793191856 41689787784 83379575568