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42690171456 = 263286092
BaseRepresentation
bin100111110000100010…
…000101001001000000
311002012011002101222100
4213300202011021000
51144412140441311
631340034310400
73040621320162
oct476042051100
9132164071870
1042690171456
1117117541739
128334a28400
1340445074aa
1420cd9a2932
15119cc79a56
hex9f0885240

42690171456 has 63 divisors (see below), whose sum is σ = 122377883641. Its totient is φ = 14228404224.

The previous prime is 42690171439. The next prime is 42690171463. The reversal of 42690171456 is 65417109624.

The square root of 42690171456 is 206616.

It is a perfect power (a square), and thus also a powerful number.

42690171456 is a `hidden beast` number, since 4 + 26 + 9 + 0 + 171 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10117141056 + 32573030400 = 100584^2 + 180480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4954480 + ... + 4963088.

Almost surely, 242690171456 is an apocalyptic number.

42690171456 is the 206616-th square number.

It is an amenable number.

42690171456 is an abundant number, since it is smaller than the sum of its proper divisors (79687712185).

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

42690171456 is an frugal number, since it uses more digits than its factorization.

42690171456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17236 (or 8614 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 42690171456 in words is "forty-two billion, six hundred ninety million, one hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 8609 17218 25827 34436 51654 68872 77481 103308 137744 154962 206616 275488 309924 413232 550976 619848 826464 1239696 1652928 2479392 4958784 74114881 148229762 222344643 296459524 444689286 592919048 667033929 889378572 1185838096 1334067858 1778757144 2371676192 2668135716 3557514288 4743352384 5336271432 7115028576 10672542864 14230057152 21345085728 42690171456