Search a number
-
+
32056243224 = 23319376131147
BaseRepresentation
bin11101110110101100…
…110111010000011000
310001202001110212210120
4131312230313100120
51011122344240344
622420524313240
72213245400025
oct356654672030
9101661425716
1032056243224
111265aa05aa5
1262676a2820
13303b3a2475
1417a158454c
15c793eb219
hex776b37418

32056243224 has 128 divisors (see below), whose sum is σ = 88061625600. Its totient is φ = 9687651840.

The previous prime is 32056243217. The next prime is 32056243267. The reversal of 32056243224 is 42234265023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1013619 + ... + 1044765.

It is an arithmetic number, because the mean of its divisors is an integer number (687981450).

Almost surely, 232056243224 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 32056243224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44030812800).

32056243224 is an abundant number, since it is smaller than the sum of its proper divisors (56005382376).

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

32056243224 is a wasteful number, since it uses less digits than its factorization.

32056243224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31273 (or 31269 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The spelling of 32056243224 in words is "thirty-two billion, fifty-six million, two hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 61 74 76 111 114 122 148 152 183 222 228 244 296 366 444 456 488 703 732 888 1159 1406 1464 2109 2257 2318 2812 3477 4218 4514 4636 5624 6771 6954 8436 9028 9272 13542 13908 16872 18056 27084 27816 31147 42883 54168 62294 85766 93441 124588 128649 171532 186882 249176 257298 343064 373764 514596 591793 747528 1029192 1152439 1183586 1775379 1899967 2304878 2367172 3457317 3550758 3799934 4609756 4734344 5699901 6914634 7101516 7599868 9219512 11399802 13829268 14203032 15199736 21896341 22799604 27658536 36099373 43792682 45599208 65689023 70298779 72198746 87585364 108298119 131378046 140597558 144397492 175170728 210896337 216596238 262756092 281195116 288794984 421792674 433192476 525512184 562390232 843585348 866384952 1335676801 1687170696 2671353602 4007030403 5342707204 8014060806 10685414408 16028121612 32056243224