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12480017796 = 22324324332
BaseRepresentation
bin10111001111101110…
…11111010110000100
31012012202100120222100
423213313133112010
5201024341032141
65422214032100
7621160254351
oct134767372604
935182316870
1012480017796
1153247100a4
122503648630
13123b74161c
14865691628
154d098d0b6
hex2e7ddf584

12480017796 has 81 divisors (see below), whose sum is σ = 32372179749. Its totient is φ = 4053877632.

The previous prime is 12480017777. The next prime is 12480017813. The reversal of 12480017796 is 69771008421.

It is a happy number.

The square root of 12480017796 is 111714.

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

12480017796 is a `hidden beast` number, since 12 + 480 + 0 + 1 + 77 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1399508100 + 11080509696 = 37410^2 + 105264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28821996 + ... + 28822428.

Almost surely, 212480017796 is an apocalyptic number.

12480017796 is the 111714-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12480017796

12480017796 is an abundant number, since it is smaller than the sum of its proper divisors (19892161953).

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

12480017796 is an equidigital number, since it uses as much as digits as its factorization.

12480017796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 12480017796 in words is "twelve billion, four hundred eighty million, seventeen thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 433 516 774 866 1299 1548 1732 1849 2598 3698 3897 5196 5547 7396 7794 11094 15588 16641 18619 22188 33282 37238 55857 66564 74476 111714 167571 187489 223428 335142 374978 562467 670284 749956 800617 1124934 1601234 1687401 2249868 2401851 3202468 3374802 4803702 6749604 7205553 8062027 9607404 14411106 16124054 24186081 28822212 32248108 48372162 72558243 96744324 145116486 290232972 346667161 693334322 1040001483 1386668644 2080002966 3120004449 4160005932 6240008898 12480017796