Search a number
-
+
15556561510656 = 283171796656569
BaseRepresentation
bin1110001001100000101101…
…0100101010000100000000
32001002012012112000112121010
43202120023110222010000
54014334314221320111
653030330302200520
73163632045032415
oct342301324520400
961065175015533
1015556561510656
114a58556461101
1218b2b70b83140
1388ac9261684a
143bad27a4210c
151be9ddbddaa6
hexe260b52a100

15556561510656 has 144 divisors (see below), whose sum is σ = 44083534219200. Its totient is φ = 4853223849984.

The previous prime is 15556561510583. The next prime is 15556561510663. The reversal of 15556561510656 is 65601516565551.

It is a junction number, because it is equal to n+sod(n) for n = 15556561510596 and 15556561510605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991261 + ... + 5665308.

It is an arithmetic number, because the mean of its divisors is an integer number (306135654300).

Almost surely, 215556561510656 is an apocalyptic number.

15556561510656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

15556561510656 is an abundant number, since it is smaller than the sum of its proper divisors (28526972708544).

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

15556561510656 is a wasteful number, since it uses less digits than its factorization.

15556561510656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656784 (or 6656770 counting only the distinct ones).

The product of its (nonzero) digits is 20250000, while the sum is 57.

The spelling of 15556561510656 in words is "fifteen trillion, five hundred fifty-six billion, five hundred sixty-one million, five hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 179 192 204 256 272 358 384 408 537 544 716 768 816 1074 1088 1432 1632 2148 2176 2864 3043 3264 4296 4352 5728 6086 6528 8592 9129 11456 12172 13056 17184 18258 22912 24344 34368 36516 45824 48688 68736 73032 97376 137472 146064 194752 292128 389504 584256 779008 1168512 2337024 6656569 13313138 19969707 26626276 39939414 53252552 79878828 106505104 113161673 159757656 213010208 226323346 319515312 339485019 426020416 452646692 639030624 678970038 852040832 905293384 1191525851 1278061248 1357940076 1704081664 1810586768 2383051702 2556122496 2715880152 3574577553 3621173536 4766103404 5112244992 5431760304 7149155106 7242347072 9532206808 10863520608 14298310212 14484694144 19064413616 20255939467 21727041216 28596620424 28969388288 38128827232 40511878934 43454082432 57193240848 60767818401 76257654464 81023757868 86908164864 114386481696 121535636802 152515308928 162047515736 228772963392 243071273604 305030617856 324095031472 457545926784 486142547208 648190062944 915091853568 972285094416 1296380125888 1944570188832 2592760251776 3889140377664 5185520503552 7778280755328 15556561510656