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5662132736 = 2913265437
BaseRepresentation
bin1010100010111110…
…10100101000000000
3112121121022010220212
411101133110220000
543044001221421
62333503053252
7260212222421
oct52137245000
915547263825
105662132736
112446143147
1211202a1228
136c30a0100
143b9dbd648
15232148e5b
hex1517d4a00

5662132736 has 60 divisors (see below), whose sum is σ = 12250582542. Its totient is φ = 2613252096.

The previous prime is 5662132717. The next prime is 5662132781. The reversal of 5662132736 is 6372312665.

It can be written as a sum of positive squares in 3 ways, for example, as 2452230400 + 3209902336 = 49520^2 + 56656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5662132693 and 5662132702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53810 + ... + 119246.

Almost surely, 25662132736 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 5662132736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6125291271).

5662132736 is an abundant number, since it is smaller than the sum of its proper divisors (6588449806).

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

5662132736 is an equidigital number, since it uses as much as digits as its factorization.

5662132736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65481 (or 65452 counting only the distinct ones).

The product of its digits is 272160, while the sum is 41.

The square root of 5662132736 is about 75247.1443710657. The cubic root of 5662132736 is about 1782.3514703461.

The spelling of 5662132736 in words is "five billion, six hundred sixty-two million, one hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1352 1664 2704 3328 5408 6656 10816 21632 43264 65437 86528 130874 261748 523496 850681 1046992 1701362 2093984 3402724 4187968 6805448 8375936 11058853 13610896 16751872 22117706 27221792 33503744 44235412 54443584 88470824 108887168 176941648 217774336 353883296 435548672 707766592 1415533184 2831066368 5662132736