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5645301516 = 22322313814937
BaseRepresentation
bin1010100000111110…
…00111011100001100
3112120102122000211100
411100133013130030
543030144122031
62332102223100
7256616162001
oct52037073414
915512560740
105645301516
112437697648
121116724a90
136bc7590ca
143b7a7b8a8
15230921de6
hex1507c770c

5645301516 has 72 divisors (see below), whose sum is σ = 14904306144. Its totient is φ = 1798283520.

The previous prime is 5645301509. The next prime is 5645301533. The reversal of 5645301516 is 6151035465.

5645301516 is a `hidden beast` number, since 5 + 645 + 3 + 0 + 1 + 5 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1141000 + ... + 1145936.

It is an arithmetic number, because the mean of its divisors is an integer number (207004252).

Almost surely, 25645301516 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 5645301516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452153072).

5645301516 is an abundant number, since it is smaller than the sum of its proper divisors (9259004628).

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

5645301516 is a wasteful number, since it uses less digits than its factorization.

5645301516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5645301516 is about 75135.2215408992. The cubic root of 5645301516 is about 1780.5836486085.

The spelling of 5645301516 in words is "five billion, six hundred forty-five million, three hundred one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1381 2762 4143 4937 5524 8286 9874 12429 14811 16572 19748 24858 29622 31763 44433 49716 59244 63526 88866 95289 113551 127052 177732 190578 227102 285867 340653 381156 454204 571734 681306 1021959 1143468 1362612 2043918 4087836 6817997 13635994 20453991 27271988 40907982 61361973 81815964 122723946 156813931 245447892 313627862 470441793 627255724 940883586 1411325379 1881767172 2822650758 5645301516