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661132668 = 2237101149523
BaseRepresentation
bin100111011010000…
…001010101111100
31201002001000112010
4213122001111330
52323222221133
6145334211220
722245351330
oct4732012574
91632030463
10661132668
1130a212839
121654b3b10
13a6c81281
1463b3b7c0
153d096263
hex2768157c

661132668 has 96 divisors (see below), whose sum is σ = 1795852800. Its totient is φ = 185414400.

The previous prime is 661132657. The next prime is 661132679. The reversal of 661132668 is 866231166.

661132668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (661132657) and next prime (661132679).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263855 + ... + 1264377.

It is an arithmetic number, because the mean of its divisors is an integer number (18706800).

Almost surely, 2661132668 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 661132668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897926400).

661132668 is an abundant number, since it is smaller than the sum of its proper divisors (1134720132).

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

661132668 is a wasteful number, since it uses less digits than its factorization.

661132668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 785 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 661132668 is about 25712.5002284881. The cubic root of 661132668 is about 871.1565487752.

The spelling of 661132668 in words is "six hundred sixty-one million, one hundred thirty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 149 202 298 303 404 447 523 596 606 707 894 1043 1046 1212 1414 1569 1788 2086 2092 2121 2828 3129 3138 3661 4172 4242 6258 6276 7322 8484 10983 12516 14644 15049 21966 30098 43932 45147 52823 60196 77927 90294 105343 105646 155854 158469 180588 210686 211292 233781 311708 316029 316938 369761 421372 467562 545489 632058 633876 739522 935124 1090978 1109283 1264116 1479044 1636467 2181956 2218566 3272934 4437132 6545868 7870627 15741254 23611881 31482508 47223762 55094389 94447524 110188778 165283167 220377556 330566334 661132668