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11872942704 = 2432712239631
BaseRepresentation
bin10110000111010111…
…01011101001110000
31010122110000222111200
423003223223221300
5143303433131304
65242050211200
7600136230210
oct130353535160
933573028450
1011872942704
115042a6a647
122374283b00
131172a395ac
14808bc6240
15497523e39
hex2c3aeba70

11872942704 has 120 divisors (see below), whose sum is σ = 38009567232. Its totient is φ = 3389143680.

The previous prime is 11872942651. The next prime is 11872942733. The reversal of 11872942704 is 40724927811.

11872942704 is a `hidden beast` number, since 11 + 87 + 294 + 270 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11872942704.

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, 1227969 + ... + 1237599.

Almost surely, 211872942704 is an apocalyptic number.

11872942704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11872942704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19004783616).

11872942704 is an abundant number, since it is smaller than the sum of its proper divisors (26136624528).

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

11872942704 is a wasteful number, since it uses less digits than its factorization.

11872942704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10875 (or 10866 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 11872942704 in words is "eleven billion, eight hundred seventy-two million, nine hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1223 2446 3669 4892 7338 8561 9631 9784 11007 14676 17122 19262 19568 22014 25683 28893 29352 34244 38524 44028 51366 57786 58704 67417 68488 77048 77049 86679 88056 102732 115572 134834 136976 154096 154098 173358 176112 202251 205464 231144 269668 308196 346716 404502 410928 462288 539336 606753 616392 693432 809004 1078672 1213506 1232784 1386864 1618008 2427012 3236016 4854024 9708048 11778713 23557426 35336139 47114852 70672278 82450991 94229704 106008417 141344556 164901982 188459408 212016834 247352973 282689112 329803964 424033668 494705946 565378224 659607928 742058919 848067336 989411892 1319215856 1484117838 1696134672 1978823784 2968235676 3957647568 5936471352 11872942704