Search a number
-
+
12376117504 = 281724092
BaseRepresentation
bin10111000011010110…
…01001000100000000
31011221111211220120101
423201223021010000
5200321241230004
65404023052144
7615456156142
oct134153110400
934844756511
1012376117504
115280aa5293
1224948a1054
13122306376a
14855966c92
154c67b7ba4
hex2e1ac9100

12376117504 has 81 divisors (see below), whose sum is σ = 26306861007. Its totient is φ = 5809815552.

The previous prime is 12376117471. The next prime is 12376117511. The reversal of 12376117504 is 40571167321.

The square root of 12376117504 is 111248.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6159110400 + 6217007104 = 78480^2 + 78848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30259252 + ... + 30259660.

Almost surely, 212376117504 is an apocalyptic number.

12376117504 is the 111248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12376117504

12376117504 is an abundant number, since it is smaller than the sum of its proper divisors (13930743503).

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

12376117504 is an frugal number, since it uses more digits than its factorization.

12376117504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 12376117504 in words is "twelve billion, three hundred seventy-six million, one hundred seventeen thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 409 544 578 818 1088 1156 1636 2176 2312 3272 4352 4624 6544 6953 9248 13088 13906 18496 26176 27812 36992 52352 55624 73984 104704 111248 118201 167281 222496 236402 334562 444992 472804 669124 889984 945608 1338248 1779968 1891216 2676496 2843777 3782432 5352992 5687554 7564864 10705984 11375108 15129728 21411968 22750216 30259456 42823936 45500432 48344209 91000864 96688418 182001728 193376836 364003456 386753672 728006912 773507344 1547014688 3094029376 6188058752 12376117504