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1228336642624 = 26713673313387
BaseRepresentation
bin10001110111111110100…
…100011011101001000000
311100102112220002200222211
4101313332210123221000
5130111113140030444
62340142353111504
7154513220122330
oct21677644335100
94312486080884
101228336642624
11433a31015103
1217a087558594
138baa7192b70
1443647aa90c0
1521e4279cc34
hex11dfe91ba40

1228336642624 has 112 divisors (see below), whose sum is σ = 3004443234688. Its totient is φ = 485211783168.

The previous prime is 1228336642613. The next prime is 1228336642651. The reversal of 1228336642624 is 4262466338221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×12283366426242 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3762859 + ... + 4076245.

It is an arithmetic number, because the mean of its divisors is an integer number (26825386024).

Almost surely, 21228336642624 is an apocalyptic number.

1228336642624 is a gapful number since it is divisible by the number (14) 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 1228336642624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502221617344).

1228336642624 is an abundant number, since it is smaller than the sum of its proper divisors (1776106592064).

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

1228336642624 is a wasteful number, since it uses less digits than its factorization.

1228336642624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314092 (or 314082 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 49.

The spelling of 1228336642624 in words is "one trillion, two hundred twenty-eight billion, three hundred thirty-six million, six hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 673 728 832 1346 1456 2692 2912 4711 5384 5824 8749 9422 10768 17498 18844 21536 34996 37688 43072 61243 69992 75376 122486 139984 150752 244972 279968 301504 313387 489944 559936 626774 979888 1253548 1959776 2193709 2507096 3919552 4074031 4387418 5014192 8148062 8774836 10028384 16296124 17549672 20056768 28518217 32592248 35099344 57036434 65184496 70198688 114072868 130368992 140397376 210909451 228145736 260737984 421818902 456291472 843637804 912582944 1476366157 1687275608 1825165888 2741822863 2952732314 3374551216 5483645726 5905464628 6749102432 10967291452 11810929256 13498204864 19192760041 21934582904 23621858512 38385520082 43869165808 47243717024 76771040164 87738331616 94487434048 153542080328 175476663232 307084160656 614168321312 1228336642624