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661011008 = 2674731393
BaseRepresentation
bin100111011001100…
…011101001000000
31201001210211122012
4213121203221000
52323204323013
6145331432052
722244333540
oct4731435100
91631724565
10661011008
1130a13a399
12165455628
13a6c3aa98
1463b09320
153d0701a8
hex27663a40

661011008 has 56 divisors (see below), whose sum is σ = 1531022592. Its totient is φ = 277254144.

The previous prime is 661010971. The next prime is 661011023. The reversal of 661011008 is 800110166.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 5360 + ... + 36752.

Almost surely, 2661011008 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 661011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765511296).

661011008 is an abundant number, since it is smaller than the sum of its proper divisors (870011584).

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

661011008 is a wasteful number, since it uses less digits than its factorization.

661011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31459 (or 31449 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 661011008 is about 25710.1343442620. The cubic root of 661011008 is about 871.1031094719.

The spelling of 661011008 in words is "six hundred sixty-one million, eleven thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 5264 10528 21056 31393 62786 125572 219751 251144 439502 502288 879004 1004576 1475471 1758008 2009152 2950942 3516016 5901884 7032032 10328297 11803768 14064064 20656594 23607536 41313188 47215072 82626376 94430144 165252752 330505504 661011008