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412211322304 = 26113247723011
BaseRepresentation
bin1011111111110011011…
…01011001110111000000
31110101222201022211001021
411333321231121313000
523223202044303204
6513211155115224
741531660266525
oct5777155316700
91411881284037
10412211322304
111498aa5aa601
1267a808a2b14
132cb434c2842
1415d45cad14c
15aac89ad154
hex5ff9b59dc0

412211322304 has 56 divisors (see below), whose sum is σ = 825589649808. Its totient is φ = 204190371840.

The previous prime is 412211322287. The next prime is 412211322323. The reversal of 412211322304 is 403223112214.

It is a super-2 number, since 2×4122113223042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17902159 + ... + 17925169.

It is an arithmetic number, because the mean of its divisors is an integer number (14742672318).

Almost surely, 2412211322304 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 412211322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412794824904).

412211322304 is an abundant number, since it is smaller than the sum of its proper divisors (413378327504).

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

412211322304 is a wasteful number, since it uses less digits than its factorization.

412211322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25613 (or 25603 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 412211322304 its reverse (403223112214), we get a palindrome (815434434518).

The spelling of 412211322304 in words is "four hundred twelve billion, two hundred eleven million, three hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 2477 3616 4954 7232 9908 19816 23011 39632 46022 79264 92044 158528 184088 279901 368176 559802 736352 1119604 1472704 2239208 2600243 4478416 5200486 8956832 10400972 17913664 20801944 41603888 56998247 83207776 113996494 166415552 227992988 455985976 911971952 1823943904 3647887808 6440801911 12881603822 25763207644 51526415288 103052830576 206105661152 412211322304