Search a number
-
+
31252431972 = 22329569157831
BaseRepresentation
bin11101000110110010…
…100100010001100100
32222200000222001001110
4131012302210101210
51003001110310342
622205052025020
72154315201006
oct350662442144
988600861043
1031252431972
1112288201783
126082462170
132c409b68c8
141726906376
15c2da6ec9c
hex746ca4464

31252431972 has 48 divisors (see below), whose sum is σ = 75569961600. Its totient is φ = 10040513280.

The previous prime is 31252431971. The next prime is 31252432031. The reversal of 31252431972 is 27913425213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31252431972.

It is not an unprimeable number, because it can be changed into a prime (31252431971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119097 + ... + 276927.

It is an arithmetic number, because the mean of its divisors is an integer number (1574374200).

Almost surely, 231252431972 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 31252431972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37784980800).

31252431972 is an abundant number, since it is smaller than the sum of its proper divisors (44317529628).

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

31252431972 is a wasteful number, since it uses less digits than its factorization.

31252431972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158436 (or 158434 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The spelling of 31252431972 in words is "thirty-one billion, two hundred fifty-two million, four hundred thirty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 569 1138 1707 2276 3414 6828 16501 33002 49503 66004 99006 157831 198012 315662 473493 631324 946986 1893972 4577099 9154198 13731297 18308396 27462594 54925188 89805839 179611678 269417517 359223356 538835034 1077670068 2604369331 5208738662 7813107993 10417477324 15626215986 31252431972