Search a number
-
+
31583412872 = 231117192348311
BaseRepresentation
bin11101011010100001…
…001010001010001000
310000112002202121111022
4131122201022022020
51004140323202442
622301554052012
72165444402624
oct353241121210
9100462677438
1031583412872
1112438016610
12615527a008
132c94440cab
141758862184
15c4cb4d3d2
hex75a84a288

31583412872 has 128 divisors (see below), whose sum is σ = 75134822400. Its totient is φ = 12243686400.

The previous prime is 31583412859. The next prime is 31583412893. The reversal of 31583412872 is 27821438513.

It is a hoax number, since the sum of its digits (44) 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 (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629597 + ... + 677907.

It is an arithmetic number, because the mean of its divisors is an integer number (586990800).

Almost surely, 231583412872 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 31583412872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37567411200).

31583412872 is an abundant number, since it is smaller than the sum of its proper divisors (43551409528).

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

31583412872 is a wasteful number, since it uses less digits than its factorization.

31583412872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48387 (or 48383 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The spelling of 31583412872 in words is "thirty-one billion, five hundred eighty-three million, four hundred twelve thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 17 19 22 23 34 38 44 46 68 76 88 92 136 152 184 187 209 253 323 374 391 418 437 506 646 748 782 836 874 1012 1292 1496 1564 1672 1748 2024 2584 3128 3496 3553 4301 4807 7106 7429 8602 9614 14212 14858 17204 19228 28424 29716 34408 38456 48311 59432 81719 96622 163438 193244 326876 386488 531421 653752 821287 917909 1062842 1111153 1642574 1835818 2125684 2222306 3285148 3671636 4251368 4444612 6570296 7343272 8889224 9034157 10096999 12222683 15604453 18068314 18889601 20193998 21111907 24445366 31208906 36136628 37779202 40387996 42223814 48890732 62417812 72273256 75558404 80775992 84447628 97781464 124835624 151116808 168895256 171648983 207785611 232230977 343297966 358902419 415571222 464461954 686595932 717804838 831142444 928923908 1373191864 1435609676 1662284888 1857847816 2871219352 3947926609 7895853218 15791706436 31583412872