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665407776 = 253111494229
BaseRepresentation
bin100111101010010…
…101000100100000
31201101002012212110
4213222111010200
52330321022101
6150005555320
722326605235
oct4752250440
91641065773
10665407776
11311672790
12166a15b40
13a7b1a117
146453178c
153d63ccd6
hex27a95120

665407776 has 96 divisors (see below), whose sum is σ = 1918728000. Its totient is φ = 200238080.

The previous prime is 665407747. The next prime is 665407783. The reversal of 665407776 is 677704566.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6654077762 = 885535016722532352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 155230 + ... + 159458.

It is an arithmetic number, because the mean of its divisors is an integer number (19986750).

Almost surely, 2665407776 is an apocalyptic number.

665407776 is a gapful number since it is divisible by the number (66) 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 665407776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959364000).

665407776 is an abundant number, since it is smaller than the sum of its proper divisors (1253320224).

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

665407776 is a wasteful number, since it uses less digits than its factorization.

665407776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The square root of 665407776 is about 25795.4991422922. The cubic root of 665407776 is about 873.0302471121.

The spelling of 665407776 in words is "six hundred sixty-five million, four hundred seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 149 176 264 298 352 447 528 596 894 1056 1192 1639 1788 2384 3278 3576 4229 4768 4917 6556 7152 8458 9834 12687 13112 14304 16916 19668 25374 26224 33832 39336 46519 50748 52448 67664 78672 93038 101496 135328 139557 157344 186076 202992 279114 372152 405984 558228 630121 744304 1116456 1260242 1488608 1890363 2232912 2520484 3780726 4465824 5040968 6931331 7561452 10081936 13862662 15122904 20163872 20793993 27725324 30245808 41587986 55450648 60491616 83175972 110901296 166351944 221802592 332703888 665407776