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15136390416 = 2437533972141
BaseRepresentation
bin11100001100011001…
…01111110100010000
31110001212210022011110
432012030233310100
5221444403443131
610541545213320
71044044124060
oct160614576420
943055708143
1015136390416
116468109174
122b25191240
131572b91444
14a383a93a0
155d8ca6646
hex38632fd10

15136390416 has 160 divisors (see below), whose sum is σ = 45667577088. Its totient is φ = 4230420480.

The previous prime is 15136390391. The next prime is 15136390447. The reversal of 15136390416 is 61409363151.

It is a super-2 number, since 2×151363904162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7068706 + ... + 7070846.

Almost surely, 215136390416 is an apocalyptic number.

15136390416 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 15136390416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22833788544).

15136390416 is an abundant number, since it is smaller than the sum of its proper divisors (30531186672).

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

15136390416 is a wasteful number, since it uses less digits than its factorization.

15136390416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 15136390416 in words is "fifteen billion, one hundred thirty-six million, three hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 397 424 636 742 794 848 1113 1191 1272 1484 1588 2141 2226 2382 2544 2779 2968 3176 4282 4452 4764 5558 5936 6352 6423 8337 8564 8904 9528 11116 12846 14987 16674 17128 17808 19056 21041 22232 25692 29974 33348 34256 42082 44464 44961 51384 59948 63123 66696 84164 89922 102768 113473 119896 126246 133392 147287 168328 179844 226946 239792 252492 294574 336656 340419 359688 441861 453892 504984 589148 680838 719376 794311 849977 883722 907784 1009968 1178296 1361676 1588622 1699954 1767444 1815568 2356592 2382933 2549931 2723352 3177244 3399908 3534888 4765866 5099862 5446704 5949839 6354488 6799816 7069776 9531732 10199724 11899678 12708976 13599632 17849517 19063464 20399448 23799356 35699034 38126928 40798896 45048781 47598712 71398068 90097562 95197424 135146343 142796136 180195124 270292686 285592272 315341467 360390248 540585372 630682934 720780496 946024401 1081170744 1261365868 1892048802 2162341488 2522731736 3784097604 5045463472 7568195208 15136390416