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134216000856 = 23327413364433
BaseRepresentation
bin111110011111111100…
…1011010010101011000
3110211102202002021112200
41330333321122111120
54144333244011411
6141354042410200
712460666120020
oct1747771322530
9424382067480
10134216000856
1151a14484a63
1222018800960
13c86c4935b2
1466d33a8a80
153758053e56
hex1f3fe5a558

134216000856 has 96 divisors (see below), whose sum is σ = 415537443360. Its totient is φ = 38337555456.

The previous prime is 134216000851. The next prime is 134216000857. The reversal of 134216000856 is 658000612431.

It is a happy number.

134216000856 is a `hidden beast` number, since 1 + 3 + 42 + 1 + 600 + 0 + 8 + 5 + 6 = 666.

134216000856 is digitally balanced in base 3, 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 134216000856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134216000851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2050816 + ... + 2115248.

It is an arithmetic number, because the mean of its divisors is an integer number (4328515035).

Almost surely, 2134216000856 is an apocalyptic number.

It is an amenable number.

134216000856 is an abundant number, since it is smaller than the sum of its proper divisors (281321442504).

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

134216000856 is a wasteful number, since it uses less digits than its factorization.

134216000856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68585 (or 68578 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 134216000856 in words is "one hundred thirty-four billion, two hundred sixteen million, eight hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4133 8266 12399 16532 24798 28931 33064 37197 49596 57862 64433 74394 86793 99192 115724 128866 148788 173586 193299 231448 257732 260379 297576 347172 386598 451031 515464 520758 579897 694344 773196 902062 1041516 1159794 1353093 1546392 1804124 2083032 2319588 2706186 3608248 4059279 4639176 5412372 8118558 10824744 16237116 32474232 266301589 532603178 798904767 1065206356 1597809534 1864111123 2130412712 2396714301 3195619068 3728222246 4793428602 5592333369 6391238136 7456444492 9586857204 11184666738 14912888984 16777000107 19173714408 22369333476 33554000214 44738666952 67108000428 134216000856