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666536796 = 223319378779
BaseRepresentation
bin100111101110101…
…000101101011100
31201110012120121000
4213232220231130
52331113134141
6150050110300
722342316652
oct4756505534
91643176530
10666536796
11312273a62
1216727b390
13a8123c93
1464746dd2
153d7b25b6
hex27ba8b5c

666536796 has 96 divisors (see below), whose sum is σ = 1868384000. Its totient is φ = 204773184.

The previous prime is 666536791. The next prime is 666536807. The reversal of 666536796 is 697635666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666536791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71535 + ... + 80313.

Almost surely, 2666536796 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 666536796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934192000).

666536796 is an abundant number, since it is smaller than the sum of its proper divisors (1201847204).

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

666536796 is a wasteful number, since it uses less digits than its factorization.

666536796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8848 (or 8840 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The square root of 666536796 is about 25817.3739175773. The cubic root of 666536796 is about 873.5237348137.

The spelling of 666536796 in words is "six hundred sixty-six million, five hundred thirty-six thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 108 111 114 148 171 222 228 333 342 444 513 666 684 703 999 1026 1332 1406 1998 2052 2109 2812 3996 4218 6327 8436 8779 12654 17558 18981 25308 26337 35116 37962 52674 75924 79011 105348 158022 166801 237033 316044 324823 333602 474066 500403 649646 667204 948132 974469 1000806 1299292 1501209 1948938 2001612 2923407 3002418 3897876 4503627 5846814 6004836 6171637 8770221 9007254 11693628 12343274 17540442 18014508 18514911 24686548 35080884 37029822 55544733 74059644 111089466 166634199 222178932 333268398 666536796