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15500551164 = 223710312591423
BaseRepresentation
bin11100110111110011…
…11010001111111100
31111000021000120210120
432123321322033330
5223221120114124
611042034334540
71056055340160
oct163371721774
944007016716
1015500551164
11663472556a
12300712a450
131600464c87
14a708c0ca0
1560ac3ad79
hex39be7a3fc

15500551164 has 96 divisors (see below), whose sum is σ = 41798615040. Its totient is φ = 4379168448.

The previous prime is 15500551163. The next prime is 15500551181. The reversal of 15500551164 is 46115500551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15500551163) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10892157 + ... + 10893579.

It is an arithmetic number, because the mean of its divisors is an integer number (435402240).

Almost surely, 215500551164 is an apocalyptic number.

15500551164 is a gapful number since it is divisible by the number (14) 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 15500551164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20899307520).

15500551164 is an abundant number, since it is smaller than the sum of its proper divisors (26298063876).

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

15500551164 is a wasteful number, since it uses less digits than its factorization.

15500551164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 33.

The spelling of 15500551164 in words is "fifteen billion, five hundred million, five hundred fifty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 618 721 1236 1259 1423 1442 2163 2518 2846 2884 3777 4269 4326 5036 5692 7554 8538 8652 8813 9961 15108 17076 17626 19922 26439 29883 35252 39844 52878 59766 105756 119532 129677 146569 259354 293138 389031 439707 518708 586276 778062 879414 907739 1025983 1556124 1758828 1791557 1815478 2051966 2723217 3077949 3583114 3630956 4103932 5374671 5446434 6155898 7166228 10749342 10892868 12311796 12540899 21498684 25081798 37622697 50163596 75245394 150490788 184530371 369060742 553591113 738121484 1107182226 1291712597 2214364452 2583425194 3875137791 5166850388 7750275582 15500551164