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15082461140 = 2252386337993
BaseRepresentation
bin11100000101111110…
…00001011111010100
31102221010022102002212
432002333001133110
5221342102224030
610532341252552
71042520542625
oct160277013724
942833272085
1015082461140
11643a72431a
122b0b104158
13156495b726
14a3116ba4c
155d41a2595
hex382fc17d4

15082461140 has 48 divisors (see below), whose sum is σ = 33089430528. Its totient is φ = 5763842304.

The previous prime is 15082461137. The next prime is 15082461151. The reversal of 15082461140 is 4116428051.

It is a super-2 number, since 2×150824611402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15082461097 and 15082461106.

It is a congruent number.

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, 377984 + ... + 415976.

It is an arithmetic number, because the mean of its divisors is an integer number (689363136).

Almost surely, 215082461140 is an apocalyptic number.

15082461140 is a gapful number since it is divisible by the number (10) 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 15082461140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16544715264).

15082461140 is an abundant number, since it is smaller than the sum of its proper divisors (18006969388).

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

15082461140 is a wasteful number, since it uses less digits than its factorization.

15082461140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38888 (or 38886 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 15082461140 its reverse (4116428051), we get a palindrome (19198889191).

The spelling of 15082461140 in words is "fifteen billion, eighty-two million, four hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 863 1726 3452 4315 8630 17260 19849 37993 39698 75986 79396 99245 151972 189965 198490 379930 396980 759860 873839 1747678 3495356 4369195 8738390 17476780 32787959 65575918 131151836 163939795 327879590 655759180 754123057 1508246114 3016492228 3770615285 7541230570 15082461140