Search a number
-
+
31486032032 = 2571310812511
BaseRepresentation
bin11101010100101101…
…101011100010100000
310000021022112011002112
4131110231223202200
51003440411011112
622244154534452
72163152566520
oct352455534240
9100238464075
1031486032032
1112398053984
126128737428
132c7a2066b0
141749953680
15c44314a22
hex754b6b8a0

31486032032 has 48 divisors (see below), whose sum is σ = 76293084672. Its totient is φ = 12456011520.

The previous prime is 31486032031. The next prime is 31486032037. The reversal of 31486032032 is 23023068413.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 31486032032.

It is not an unprimeable number, because it can be changed into a prime (31486032031) 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 7 ways as a sum of consecutive naturals, for example, 5403344 + ... + 5409167.

It is an arithmetic number, because the mean of its divisors is an integer number (1589439264).

Almost surely, 231486032032 is an apocalyptic number.

31486032032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31486032032 is an abundant number, since it is smaller than the sum of its proper divisors (44807052640).

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

31486032032 is a wasteful number, since it uses less digits than its factorization.

31486032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812541 (or 10812533 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 31486032032 in words is "thirty-one billion, four hundred eighty-six million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 10812511 21625022 43250044 75687577 86500088 140562643 151375154 173000176 281125286 302750308 346000352 562250572 605500616 983938501 1124501144 1211001232 1967877002 2249002288 2422002464 3935754004 4498004576 7871508008 15743016016 31486032032