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71152643385 = 3257338815581
BaseRepresentation
bin100001001000100000…
…1110010110100111001
320210122202020210100100
41002101001302310321
52131210034042020
652404224030013
75066141326665
oct1022101626471
9223582223310
1071152643385
11281a28a310a
1211958a62309
13692c19a965
14362db398a5
151cb68e4a90
hex1091072d39

71152643385 has 48 divisors (see below), whose sum is σ = 125075338128. Its totient is φ = 37411891200.

The previous prime is 71152643377. The next prime is 71152643399. The reversal of 71152643385 is 58334625117.

It is a happy number.

71152643385 is a `hidden beast` number, since 7 + 1 + 1 + 5 + 264 + 3 + 385 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 309900816 + 70842742569 = 17604^2 + 266163^2 .

It is not a de Polignac number, because 71152643385 - 23 = 71152643377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 71152643385.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12746295 + ... + 12751875.

It is an arithmetic number, because the mean of its divisors is an integer number (2605736211).

Almost surely, 271152643385 is an apocalyptic number.

It is an amenable number.

71152643385 is a deficient number, since it is larger than the sum of its proper divisors (53922694743).

71152643385 is a wasteful number, since it uses less digits than its factorization.

71152643385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546 (or 9543 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 71152643385 in words is "seventy-one billion, one hundred fifty-two million, six hundred forty-three thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 73 219 365 657 1095 3285 3881 5581 11643 16743 19405 27905 34929 50229 58215 83715 174645 251145 283313 407413 849939 1222239 1416565 2037065 2549817 3666717 4249695 6111195 12749085 18333585 21659861 64979583 108299305 194938749 324897915 974693745 1581169853 4743509559 7905849265 14230528677 23717547795 71152643385