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966700716 = 2231743193571
BaseRepresentation
bin111001100111101…
…010111010101100
32111101000111002020
4321213222322230
53434433410331
6235531430140
732645551302
oct7147527254
92441014066
10966700716
1145674a613
1222b8b5350
1312537b577
1492560272
1559d04c96
hex399eaeac

966700716 has 96 divisors (see below), whose sum is σ = 2460826368. Its totient is φ = 294174720.

The previous prime is 966700697. The next prime is 966700769. The reversal of 966700716 is 617007669.

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, 1692711 + ... + 1693281.

It is an arithmetic number, because the mean of its divisors is an integer number (25633608).

Almost surely, 2966700716 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 966700716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230413184).

966700716 is an abundant number, since it is smaller than the sum of its proper divisors (1494125652).

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

966700716 is a wasteful number, since it uses less digits than its factorization.

966700716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 966700716 is about 31091.8110762303. The cubic root of 966700716 is about 988.7747028606.

The spelling of 966700716 in words is "nine hundred sixty-six million, seven hundred thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 193 204 258 386 516 571 579 731 772 1142 1158 1462 1713 2193 2284 2316 2924 3281 3426 4386 6562 6852 8299 8772 9707 9843 13124 16598 19414 19686 24553 24897 29121 33196 38828 39372 49106 49794 58242 73659 98212 99588 110203 116484 141083 147318 220406 282166 294636 330609 417401 423249 440812 564332 661218 834802 846498 1252203 1322436 1669604 1692996 1873451 2504406 3746902 4738729 5008812 5620353 7493804 9477458 11240706 14216187 18954916 22481412 28432374 56864748 80558393 161116786 241675179 322233572 483350358 966700716