Search a number
-
+
31927858496 = 264159271761
BaseRepresentation
bin11101101111000011…
…000111010101000000
310001102002220021001122
4131233003013111000
51010342012432441
622400100451412
72210126214362
oct355703072500
9101362807048
1031927858496
11125a4497716
1262306a9b68
13301a900c81
14178c4c4d32
15c6cedb34b
hex76f0c7540

31927858496 has 112 divisors (see below), whose sum is σ = 66332770560. Its totient is φ = 15234048000.

The previous prime is 31927858463. The next prime is 31927858553. The reversal of 31927858496 is 69485872913.

Its product of digits (26127360) is a multiple of the sum of its prime divisors (1134).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41954756 + ... + 41955516.

It is an arithmetic number, because the mean of its divisors is an integer number (592256880).

Almost surely, 231927858496 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 31927858496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33166385280).

31927858496 is an abundant number, since it is smaller than the sum of its proper divisors (34404912064).

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

31927858496 is a wasteful number, since it uses less digits than its factorization.

31927858496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1134 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 62.

The spelling of 31927858496 in words is "thirty-one billion, nine hundred twenty-seven million, eight hundred fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 59 64 82 118 164 236 271 328 472 542 656 761 944 1084 1312 1522 1888 2168 2419 2624 3044 3776 4336 4838 6088 8672 9676 11111 12176 15989 17344 19352 22222 24352 31201 31978 38704 44444 44899 48704 62402 63956 77408 88888 89798 124804 127912 154816 177776 179596 206231 249608 255824 355552 359192 412462 499216 511648 655549 711104 718384 824924 998432 1023296 1311098 1436768 1649848 1840859 1996864 2622196 2873536 3299696 3681718 5244392 6599392 7363436 8455471 10488784 12167629 13198784 14726872 16910942 20977568 24335258 29453744 33821884 41955136 48670516 58907488 67643768 97341032 117814976 135287536 194682064 270575072 389364128 498872789 541150144 778728256 997745578 1995491156 3990982312 7981964624 15963929248 31927858496