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15042287136 = 2531014993109
BaseRepresentation
bin11100000001001011…
…10001011000100000
31102211022201100201210
432000211301120200
5221301311142021
610524344230120
71041522221352
oct160045613040
942738640653
1015042287136
116419a84a68
122ab976b340
131559533926
14a29ab10d2
155d08b8e76
hex380971620

15042287136 has 96 divisors (see below), whose sum is σ = 39969720000. Its totient is φ = 4952908800.

The previous prime is 15042287107. The next prime is 15042287147. The reversal of 15042287136 is 63178224051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 15042287094 and 15042287103.

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, 4836750 + ... + 4839858.

It is an arithmetic number, because the mean of its divisors is an integer number (416351250).

Almost surely, 215042287136 is an apocalyptic number.

15042287136 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 15042287136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19984860000).

15042287136 is an abundant number, since it is smaller than the sum of its proper divisors (24927432864).

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

15042287136 is a wasteful number, since it uses less digits than its factorization.

15042287136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 15042287136 in words is "fifteen billion, forty-two million, two hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 499 606 808 998 1212 1497 1616 1996 2424 2994 3109 3232 3992 4848 5988 6218 7984 9327 9696 11976 12436 15968 18654 23952 24872 37308 47904 49744 50399 74616 99488 100798 149232 151197 201596 298464 302394 314009 403192 604788 628018 806384 942027 1209576 1256036 1551391 1612768 1884054 2419152 2512072 3102782 3768108 4654173 4838304 5024144 6205564 7536216 9308346 10048288 12411128 15072432 18616692 24822256 30144864 37233384 49644512 74466768 148933536 156690491 313380982 470071473 626761964 940142946 1253523928 1880285892 2507047856 3760571784 5014095712 7521143568 15042287136