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42702569316 = 22321123121012
BaseRepresentation
bin100111110001010001…
…010111111101100100
311002020000102021122100
4213301101113331210
51144423324204231
631341200132100
73041131564431
oct476121277544
9132200367570
1042702569316
111712353a400
128339007030
134046c585c4
1420d14acb88
15119ddc81e6
hex9f1457f64

42702569316 has 243 divisors, whose sum is σ = 123824328537. Its totient is φ = 12398760000.

The previous prime is 42702569243. The next prime is 42702569317. The reversal of 42702569316 is 61396520724.

The square root of 42702569316 is 206646.

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

42702569316 is a `hidden beast` number, since 4 + 2 + 70 + 2 + 569 + 3 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41028122916 + 1674446400 = 202554^2 + 40920^2 .

It is not an unprimeable number, because it can be changed into a prime (42702569317) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 422797666 + ... + 422797766.

Almost surely, 242702569316 is an apocalyptic number.

42702569316 is the 206646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42702569316

42702569316 is an abundant number, since it is smaller than the sum of its proper divisors (81121759221).

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

42702569316 is a wasteful number, since it uses less digits than its factorization.

42702569316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

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

The spelling of 42702569316 in words is "forty-two billion, seven hundred two million, five hundred sixty-nine thousand, three hundred sixteen".