Search a number
-
+
15493063144 = 23131960712917
BaseRepresentation
bin11100110110111010…
…10110000111101000
31110222201221011011111
432123131112013220
5223212211010034
611041210040104
71055634602206
oct163335260750
943881834144
1015493063144
116630480719
123004719034
1315cba428b0
14a6d8d2076
1560a25c364
hex39b7561e8

15493063144 has 64 divisors (see below), whose sum is σ = 32987404800. Its totient is φ = 6762610944.

The previous prime is 15493063139. The next prime is 15493063207. The reversal of 15493063144 is 44136039451.

It is a junction number, because it is equal to n+sod(n) for n = 15493063097 and 15493063106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192974 + ... + 1205890.

It is an arithmetic number, because the mean of its divisors is an integer number (515428200).

Almost surely, 215493063144 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 15493063144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16493702400).

15493063144 is an abundant number, since it is smaller than the sum of its proper divisors (17494341656).

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

15493063144 is a wasteful number, since it uses less digits than its factorization.

15493063144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13562 (or 13558 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 15493063144 in words is "fifteen billion, four hundred ninety-three million, sixty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 607 988 1214 1976 2428 4856 7891 11533 12917 15782 23066 25834 31564 46132 51668 63128 92264 103336 149929 167921 245423 299858 335842 490846 599716 671684 981692 1199432 1343368 1963384 3190499 6380998 7840619 12761996 15681238 25523992 31362476 62724952 101928047 148971761 203856094 297943522 407712188 595887044 815424376 1191774088 1936632893 3873265786 7746531572 15493063144