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968766981 = 371321716057
BaseRepresentation
bin111001101111100…
…011011000000101
32111111220110110120
4321233203120011
53441001020411
6240044012153
733002245350
oct7157433005
92444813416
10968766981
11457930a76
12230531059
13125922c00
149293b297
155a0b2106
hex39be3605

968766981 has 48 divisors (see below), whose sum is σ = 1692641664. Its totient is φ = 480909312.

The previous prime is 968766977. The next prime is 968766989. The reversal of 968766981 is 189667869.

It is not a de Polignac number, because 968766981 - 22 = 968766977 is a prime.

It is a super-2 number, since 2×9687669812 = 1877018926951708722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968766989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52305 + ... + 68361.

It is an arithmetic number, because the mean of its divisors is an integer number (35263368).

Almost surely, 2968766981 is an apocalyptic number.

968766981 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

968766981 is a deficient number, since it is larger than the sum of its proper divisors (723874683).

968766981 is a wasteful number, since it uses less digits than its factorization.

968766981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16110 (or 16097 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 60.

The square root of 968766981 is about 31125.0217831249. The cubic root of 968766981 is about 989.4786838020.

The spelling of 968766981 in words is "nine hundred sixty-eight million, seven hundred sixty-six thousand, nine hundred eighty-one".

Divisors: 1 3 7 13 17 21 39 51 91 119 169 221 273 357 507 663 1183 1547 2873 3549 4641 8619 16057 20111 48171 60333 112399 208741 272969 337197 626223 818907 1461187 1910783 2713633 3548597 4383561 5732349 8140899 10645791 18995431 24840179 46131761 56986293 74520537 138395283 322922327 968766981