Search a number
-
+
15150143008755 = 32531109131975539
BaseRepresentation
bin1101110001110110101011…
…1001000110111111110011
31222122100011111220111020200
43130131222321012333303
53441204443102240010
652115513555210243
73122363444542026
oct334355271067763
958570144814220
1015150143008755
114911159846287
1218482482a6983
1385b8632c08b1
143a53b12511bd
151b4153a91cc0
hexdc76ae46ff3

15150143008755 has 96 divisors (see below), whose sum is σ = 27377146368000. Its totient is φ = 7741714371840.

The previous prime is 15150143008733. The next prime is 15150143008801. The reversal of 15150143008755 is 55780034105151.

15150143008755 is a `hidden beast` number, since 1 + 51 + 501 + 43 + 0 + 0 + 8 + 7 + 55 = 666.

It is not a de Polignac number, because 15150143008755 - 210 = 15150143007731 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 15150143008755.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200522776 + ... + 200598314.

It is an arithmetic number, because the mean of its divisors is an integer number (285178608000).

Almost surely, 215150143008755 is an apocalyptic number.

15150143008755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15150143008755 is a deficient number, since it is larger than the sum of its proper divisors (12227003359245).

15150143008755 is a wasteful number, since it uses less digits than its factorization.

15150143008755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77009 (or 77006 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 45.

The spelling of 15150143008755 in words is "fifteen trillion, one hundred fifty billion, one hundred forty-three million, eight thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 31 45 93 109 155 279 327 465 545 981 1319 1395 1635 3379 3957 4905 6595 10137 11871 16895 19785 30411 40889 50685 59355 75539 122667 143771 152055 204445 226617 368001 377695 431313 613335 679851 718855 1133085 1293939 1840005 2156565 2341709 3399255 4456901 6469695 7025127 8233751 11708545 13370703 21075381 22284505 24701253 35125635 40112109 41168755 66853515 74103759 99635941 105376905 123506265 200560545 255246281 298907823 370518795 498179705 765738843 896723469 1276231405 1494539115 2297216529 3088714171 3828694215 4483617345 9266142513 10860317569 11486082645 15443570855 27798427539 32580952707 46330712565 54301587845 97742858121 138992137695 162904763535 336669844639 488714290605 1010009533917 1683349223195 3030028601751 5050047669585 15150143008755