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13412253712 = 2411213240993
BaseRepresentation
bin11000111110110111…
…01100000000010000
31021121201112002020111
430133123230000100
5204432014104322
610054515051104
7653240163334
oct143733540020
937551462214
1013412253712
11576295a800
1227238a0a94
131359913900
149133dd7c4
15537736177
hex31f6ec010

13412253712 has 90 divisors (see below), whose sum is σ = 30930341946. Its totient is φ = 5627381760.

The previous prime is 13412253689. The next prime is 13412253727. The reversal of 13412253712 is 21735221431.

It can be written as a sum of positive squares in 3 ways, for example, as 515471616 + 12896782096 = 22704^2 + 113564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 306688 + ... + 347680.

Almost surely, 213412253712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13412253712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15465170973).

13412253712 is an abundant number, since it is smaller than the sum of its proper divisors (17518088234).

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

13412253712 is a wasteful number, since it uses less digits than its factorization.

13412253712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41049 (or 41019 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The spelling of 13412253712 in words is "thirteen billion, four hundred twelve million, two hundred fifty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 169 176 208 242 286 338 484 572 676 968 1144 1352 1573 1859 1936 2288 2704 3146 3718 6292 7436 12584 14872 20449 25168 29744 40898 40993 81796 81986 163592 163972 327184 327944 450923 532909 655888 901846 1065818 1803692 2131636 3607384 4263272 4960153 5861999 6927817 7214768 8526544 9920306 11723998 13855634 19840612 23447996 27711268 39681224 46895992 55422536 64481989 76205987 79362448 93791984 110845072 128963978 152411974 257927956 304823948 515855912 609647896 838265857 1031711824 1219295792 1676531714 3353063428 6706126856 13412253712