Search a number
-
+
31975456656 = 243111338312163
BaseRepresentation
bin11101110001111000…
…101011111110010000
310001112102110111110110
4131301320223332100
51010441204103111
622404521001320
72211244616463
oct356170537620
9101472414413
1031975456656
1112619347940
126244623240
133027728070
1417949552da
15c7228e5a6
hex771e2bf90

31975456656 has 160 divisors (see below), whose sum is σ = 97305772032. Its totient is φ = 8920097280.

The previous prime is 31975456627. The next prime is 31975456657. The reversal of 31975456656 is 65665457913.

It is a junction number, because it is equal to n+sod(n) for n = 31975456596 and 31975456605.

It is not an unprimeable number, because it can be changed into a prime (31975456657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2622831 + ... + 2634993.

Almost surely, 231975456656 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 31975456656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48652886016).

31975456656 is an abundant number, since it is smaller than the sum of its proper divisors (65330315376).

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

31975456656 is a wasteful number, since it uses less digits than its factorization.

31975456656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12581 (or 12575 counting only the distinct ones).

The product of its digits is 20412000, while the sum is 57.

The spelling of 31975456656 in words is "thirty-one billion, nine hundred seventy-five million, four hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 383 429 528 572 624 766 858 1144 1149 1532 1716 2288 2298 3064 3432 4213 4596 4979 6128 6864 8426 9192 9958 12163 12639 14937 16852 18384 19916 24326 25278 29874 33704 36489 39832 48652 50556 54769 59748 67408 72978 79664 97304 101112 109538 119496 133793 145956 158119 164307 194608 202224 219076 238992 267586 291912 316238 328614 401379 438152 474357 535172 583824 632476 657228 802758 876304 948714 1070344 1264952 1314456 1605516 1739309 1897428 2140688 2529904 2628912 3211032 3478618 3794856 4658429 5217927 6422064 6957236 7589712 9316858 10435854 13914472 13975287 18633716 20871708 27828944 27950574 37267432 41743416 51242719 55901148 60559577 74534864 83486832 102485438 111802296 121119154 153728157 181678731 204970876 223604592 242238308 307456314 363357462 409941752 484476616 614912628 666155347 726714924 819883504 968953232 1229825256 1332310694 1453429848 1998466041 2459650512 2664621388 2906859696 3996932082 5329242776 7993864164 10658485552 15987728328 31975456656