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83292967956 = 223112379151357
BaseRepresentation
bin100110110010010100…
…1011101010000010100
321221222211102011211010
41031210221131100110
52331040444433311
6102133025212220
76006035355162
oct1154451352024
9257884364733
1083292967956
1132362788700
1214186791070
137b15424473
144062244232
152277632da6
hex1364a5d414

83292967956 has 72 divisors (see below), whose sum is σ = 214189732960. Its totient is φ = 25173529920.

The previous prime is 83292967939. The next prime is 83292967969. The reversal of 83292967956 is 65976929238.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474630 + ... + 625986.

Almost surely, 283292967956 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 83292967956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107094866480).

83292967956 is an abundant number, since it is smaller than the sum of its proper divisors (130896765004).

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

83292967956 is a wasteful number, since it uses less digits than its factorization.

83292967956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151765 (or 151752 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 66.

The spelling of 83292967956 in words is "eighty-three billion, two hundred ninety-two million, nine hundred sixty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 379 484 726 758 1137 1452 1516 2274 4169 4548 8338 12507 16676 25014 45859 50028 91718 137577 151357 183436 275154 302714 454071 550308 605428 908142 1664927 1816284 3329854 4994781 6659708 9989562 18314197 19979124 36628394 54942591 57364303 73256788 109885182 114728606 172092909 219770364 229457212 344185818 631007333 688371636 1262014666 1893021999 2524029332 3786043998 6941080663 7572087996 13882161326 20823241989 27764322652 41646483978 83292967956