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10678856940 = 223456591887
BaseRepresentation
bin10011111001000001…
…00110110011101100
31000120020011010210000
421330200212303230
5133332241410230
64523352544300
7525426533463
oct117440466354
930506133700
1010678856940
11458aa33304
1220a03b2090
13101253607b
147343959da
154277a5b60
hex27c826cec

10678856940 has 60 divisors (see below), whose sum is σ = 33499974816. Its totient is φ = 2847694752.

The previous prime is 10678856933. The next prime is 10678856959. The reversal of 10678856940 is 4965887601.

10678856940 is a `hidden beast` number, since 1 + 0 + 6 + 78 + 8 + 569 + 4 + 0 = 666.

10678856940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×106788569402 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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 19 ways as a sum of consecutive naturals, for example, 3294324 + ... + 3297563.

Almost surely, 210678856940 is an apocalyptic number.

10678856940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10678856940 is an abundant number, since it is smaller than the sum of its proper divisors (22821117876).

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

10678856940 is a wasteful number, since it uses less digits than its factorization.

10678856940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591908 (or 6591897 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10678856940 in words is "ten billion, six hundred seventy-eight million, eight hundred fifty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 6591887 13183774 19775661 26367548 32959435 39551322 59326983 65918870 79102644 98878305 118653966 131837740 177980949 197756610 237307932 296634915 355961898 395513220 533942847 593269830 711923796 889904745 1067885694 1186539660 1779809490 2135771388 2669714235 3559618980 5339428470 10678856940