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10974294936 = 23331143310667
BaseRepresentation
bin10100011100001111…
…00111001110011000
31001022211001221112000
422032013213032120
5134433404414221
65012545121000
7535644652653
oct121607471630
931284057460
1010974294936
114721781240
122163329160
13105b7c7557
147616dc89a
154436b2e26
hex28e1e7398

10974294936 has 128 divisors (see below), whose sum is σ = 33335366400. Its totient is φ = 3317552640.

The previous prime is 10974294913. The next prime is 10974294967. The reversal of 10974294936 is 63949247901.

10974294936 is a `hidden beast` number, since 109 + 7 + 42 + 9 + 493 + 6 = 666.

10974294936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023475 + ... + 1034141.

It is an arithmetic number, because the mean of its divisors is an integer number (260432550).

Almost surely, 210974294936 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 10974294936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16667683200).

10974294936 is an abundant number, since it is smaller than the sum of its proper divisors (22361071464).

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

10974294936 is a wasteful number, since it uses less digits than its factorization.

10974294936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11126 (or 11116 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 10974294936 in words is "ten billion, nine hundred seventy-four million, two hundred ninety-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 433 594 792 866 1188 1299 1732 2376 2598 3464 3897 4763 5196 7794 9526 10392 10667 11691 14289 15588 19052 21334 23382 28578 31176 32001 38104 42668 42867 46764 57156 64002 85336 85734 93528 96003 114312 117337 128004 128601 171468 192006 234674 256008 257202 288009 342936 352011 384012 469348 514404 576018 704022 768024 938696 1028808 1056033 1152036 1408044 2112066 2304072 2816088 3168099 4224132 4618811 6336198 8448264 9237622 12672396 13856433 18475244 25344792 27712866 36950488 41569299 50806921 55425732 83138598 101613842 110851464 124707897 152420763 166277196 203227684 249415794 304841526 332554392 406455368 457262289 498831588 609683052 914524578 997663176 1219366104 1371786867 1829049156 2743573734 3658098312 5487147468 10974294936