Search a number
-
+
15605156010656 = 2517311675541037
BaseRepresentation
bin1110001100010101101111…
…0001111101101010100000
32001020211122011010220200102
43203011123301331222200
54021133324414320111
653104524255041532
73200302212334502
oct343053361755240
961224564126612
1015605156010656
114a77122819203
1219004732102a8
13892738130564
143bd41782bd72
151c0dd4ea413b
hexe315bc7daa0

15605156010656 has 96 divisors (see below), whose sum is σ = 33780295406592. Its totient is φ = 7064155975680.

The previous prime is 15605156010641. The next prime is 15605156010683. The reversal of 15605156010656 is 65601065150651.

It is a self number, because there is not a number n which added to its sum of digits gives 15605156010656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45770 + ... + 5586806.

It is an arithmetic number, because the mean of its divisors is an integer number (351878077152).

Almost surely, 215605156010656 is an apocalyptic number.

15605156010656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15605156010656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16890147703296).

15605156010656 is an abundant number, since it is smaller than the sum of its proper divisors (18175139395936).

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

15605156010656 is a wasteful number, since it uses less digits than its factorization.

15605156010656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5541262 (or 5541254 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 47.

The spelling of 15605156010656 in words is "fifteen trillion, six hundred five billion, one hundred fifty-six million, ten thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 167 248 272 334 496 527 544 668 992 1054 1336 2108 2672 2839 4216 5177 5344 5678 8432 10354 11356 16864 20708 22712 41416 45424 82832 88009 90848 165664 176018 352036 704072 1408144 2816288 5541037 11082074 22164148 44328296 88656592 94197629 171772147 177313184 188395258 343544294 376790516 687088588 753581032 925353179 1374177176 1507162064 1850706358 2748354352 2920126499 3014324128 3701412716 5496708704 5840252998 7402825432 11680505996 14805650864 15731004043 23361011992 28685948549 29611301728 31462008086 46722023984 57371897098 62924016172 93444047968 114743794196 125848032344 229487588392 251696064688 458975176784 487661125333 503392129376 917950353568 975322250666 1950644501332 3901289002664 7802578005328 15605156010656