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42920295372 = 22324343364033
BaseRepresentation
bin100111111110001111…
…111011101111001100
311002210012002220122100
4213332033323233030
51200400043422442
631414534515100
73046414330323
oct477617735714
9132705086570
1042920295372
111722542a199
128399b05a90
1340800aaca6
1421123870ba
1511b308484c
hex9fe3fbbcc

42920295372 has 72 divisors (see below), whose sum is σ = 111274187024. Its totient is φ = 13941559296.

The previous prime is 42920295359. The next prime is 42920295409. The reversal of 42920295372 is 27359202924.

42920295372 is a `hidden beast` number, since 4 + 2 + 92 + 0 + 29 + 537 + 2 = 666.

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, 638268 + ... + 702300.

Almost surely, 242920295372 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 42920295372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55637093512).

42920295372 is an abundant number, since it is smaller than the sum of its proper divisors (68353891652).

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

42920295372 is a wasteful number, since it uses less digits than its factorization.

42920295372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64519 (or 64514 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 42920295372 in words is "forty-two billion, nine hundred twenty million, two hundred ninety-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 433 516 774 866 1299 1548 1732 2598 3897 5196 7794 15588 18619 37238 55857 64033 74476 111714 128066 167571 192099 223428 256132 335142 384198 576297 670284 768396 1152594 2305188 2753419 5506838 8260257 11013676 16520514 24780771 27726289 33041028 49561542 55452578 83178867 99123084 110905156 166357734 249536601 332715468 499073202 998146404 1192230427 2384460854 3576691281 4768921708 7153382562 10730073843 14306765124 21460147686 42920295372