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42722869472 = 252324358693
BaseRepresentation
bin100111110010011110…
…110100000011100000
311002021102121122012222
4213302132310003200
51144444023310342
631343203210212
73041466253523
oct476236640340
9132242548188
1042722869472
1117133a45198
128343976968
13404b21552a
1420d4074bba
1511a0a87ed2
hex9f27b40e0

42722869472 has 72 divisors (see below), whose sum is σ = 89972971704. Its totient is φ = 19957158144.

The previous prime is 42722869471. The next prime is 42722869517. The reversal of 42722869472 is 27496822724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42722869471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 698558 + ... + 757250.

It is an arithmetic number, because the mean of its divisors is an integer number (1249624607).

Almost surely, 242722869472 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 42722869472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44986485852).

42722869472 is an abundant number, since it is smaller than the sum of its proper divisors (47250102232).

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

42722869472 is a wasteful number, since it uses less digits than its factorization.

42722869472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58792 (or 58761 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 53.

The spelling of 42722869472 in words is "forty-two billion, seven hundred twenty-two million, eight hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 43 46 86 92 172 184 344 368 529 688 736 989 1058 1376 1978 2116 3956 4232 7912 8464 15824 16928 22747 31648 45494 58693 90988 117386 181976 234772 363952 469544 727904 939088 1349939 1878176 2523799 2699878 5047598 5399756 10095196 10799512 20190392 21599024 31048597 40380784 43198048 58047377 62097194 80761568 116094754 124194388 232189508 248388776 464379016 496777552 928758032 993555104 1335089671 1857516064 2670179342 5340358684 10680717368 21361434736 42722869472