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10966704984 = 2332375877013
BaseRepresentation
bin10100011011010101…
…01010001101011000
31001022021210100001200
422031222222031120
5134424434024414
65012114314200
7535523311554
oct121552521530
931267710050
1010966704984
114718467854
122160888960
13105a06a961
147606c4864
15442bb4109
hex28daaa358

10966704984 has 96 divisors (see below), whose sum is σ = 30560559120. Its totient is φ = 3550203648.

The previous prime is 10966704979. The next prime is 10966704997. The reversal of 10966704984 is 48940766901.

10966704984 is a `hidden beast` number, since 1 + 0 + 96 + 67 + 0 + 498 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10966704984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1560262 + ... + 1567274.

Almost surely, 210966704984 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 10966704984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15280279560).

10966704984 is an abundant number, since it is smaller than the sum of its proper divisors (19593854136).

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

10966704984 is a wasteful number, since it uses less digits than its factorization.

10966704984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649 (or 7642 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10966704984 in words is "ten billion, nine hundred sixty-six million, seven hundred four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 587 666 888 1174 1332 1761 2348 2664 3522 4696 5283 7013 7044 10566 14026 14088 21039 21132 21719 28052 42078 42264 43438 56104 63117 65157 84156 86876 126234 130314 168312 173752 195471 252468 259481 260628 390942 504936 518962 521256 778443 781884 1037924 1556886 1563768 2075848 2335329 3113772 4116631 4670658 6227544 8233262 9341316 12349893 16466524 18682632 24699786 32933048 37049679 49399572 74099358 98799144 148198716 152315347 296397432 304630694 456946041 609261388 913892082 1218522776 1370838123 1827784164 2741676246 3655568328 5483352492 10966704984