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83726419968 = 211324542449
BaseRepresentation
bin100110111111001111…
…0111100100000000000
322000010001000211012100
41031332132330200000
52332432430414333
6102244031430400
76022550553522
oct1157636744000
9260101024170
1083726419968
1132565421604
1214287985400
137b84179049
1440a3a35a12
1522a0703213
hex137e7bc800

83726419968 has 72 divisors (see below), whose sum is σ = 241817325750. Its totient is φ = 27908800512.

The previous prime is 83726419957. The next prime is 83726419991. The reversal of 83726419968 is 86991462738.

It can be written as a sum of positive squares in only one way, i.e., 83331523584 + 394896384 = 288672^2 + 19872^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×837264199682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2252793 + ... + 2289656.

Almost surely, 283726419968 is an apocalyptic number.

It is an amenable number.

83726419968 is an abundant number, since it is smaller than the sum of its proper divisors (158090905782).

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

83726419968 is a wasteful number, since it uses less digits than its factorization.

83726419968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542477 (or 4542454 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 83726419968 in words is "eighty-three billion, seven hundred twenty-six million, four hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 4542449 9084898 13627347 18169796 27254694 36339592 40882041 54509388 72679184 81764082 109018776 145358368 163528164 218037552 290716736 327056328 436075104 581433472 654112656 872150208 1162866944 1308225312 1744300416 2325733888 2616450624 3488600832 4651467776 5232901248 6977201664 9302935552 10465802496 13954403328 20931604992 27908806656 41863209984 83726419968