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13910787136 = 262326412
BaseRepresentation
bin11001111010010010…
…11100010001000000
31022220110121012112101
430331021130101000
5211442130142021
610220204240144
71001502511501
oct147511342100
938813535471
1013910787136
1159993052a4
122842840054
131408ca42bc
1495d6d2ba8
155663aea91
hex33d25c440

13910787136 has 63 divisors (see below), whose sum is σ = 28901671813. Its totient is φ = 6642606080.

The previous prime is 13910787133. The next prime is 13910787157. The reversal of 13910787136 is 63178701931.

The square root of 13910787136 is 117944.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12556547136 + 1354240000 = 112056^2 + 36800^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13910787133) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21701376 + ... + 21702016.

Almost surely, 213910787136 is an apocalyptic number.

13910787136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13910787136 is the 117944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13910787136

13910787136 is an abundant number, since it is smaller than the sum of its proper divisors (14990884677).

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

13910787136 is an frugal number, since it uses more digits than its factorization.

13910787136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The spelling of 13910787136 in words is "thirteen billion, nine hundred ten million, seven hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 641 736 1058 1282 1472 2116 2564 4232 5128 8464 10256 14743 16928 20512 29486 33856 41024 58972 117944 235888 339089 410881 471776 678178 821762 943552 1356356 1643524 2712712 3287048 5425424 6574096 9450263 10850848 13148192 18900526 21701696 26296384 37801052 75602104 151204208 217356049 302408416 434712098 604816832 869424196 1738848392 3477696784 6955393568 13910787136