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85811707484856 = 23331039526172679
BaseRepresentation
bin10011100000101110011000…
…010101111001101010111000
3102020211112000102210202001000
4103200232120111321222320
542221414334104003411
6502301204301325000
724034456051504443
oct2340563025715270
9366745012722030
1085811707484856
11253845a4850011
12975aa73266760
1338b601755a682
1417294474d865a
159dc25d18b956
hex4e0b98579ab8

85811707484856 has 128 divisors (see below), whose sum is σ = 238643907840000. Its totient is φ = 28570547422080.

The previous prime is 85811707484851. The next prime is 85811707484869. The reversal of 85811707484856 is 65848470711858.

85811707484856 is a `hidden beast` number, since 8 + 5 + 8 + 1 + 1 + 70 + 74 + 8 + 485 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85811707484851) 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 31 ways as a sum of consecutive naturals, for example, 1180658325 + ... + 1180731003.

It is an arithmetic number, because the mean of its divisors is an integer number (1864405530000).

Almost surely, 285811707484856 is an apocalyptic number.

It is an amenable number.

85811707484856 is an abundant number, since it is smaller than the sum of its proper divisors (152832200355144).

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

85811707484856 is a wasteful number, since it uses less digits than its factorization.

85811707484856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78994 (or 78984 counting only the distinct ones).

The product of its (nonzero) digits is 481689600, while the sum is 72.

The spelling of 85811707484856 in words is "eighty-five trillion, eight hundred eleven billion, seven hundred seven million, four hundred eighty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1039 2078 3117 4156 5261 6234 8312 9351 10522 12468 15783 18702 21044 24936 28053 31566 37404 42088 47349 56106 63132 72679 74808 94698 112212 126264 142047 145358 189396 218037 224424 284094 290716 378792 436074 568188 581432 654111 872148 1136376 1308222 1744296 1962333 2616444 3924666 5232888 5466179 7849332 10932358 15698664 16398537 21864716 32797074 43729432 49195611 65594148 75513481 98391222 131188296 147586833 151026962 196782444 226540443 295173666 302053924 382364219 393564888 453080886 590347332 604107848 679621329 764728438 906161772 1147092657 1180694664 1359242658 1529456876 1812323544 2038863987 2294185314 2718485316 3058913752 3441277971 4077727974 4588370628 5436970632 6882555942 8155455948 9176741256 10323833913 13765111884 16310911896 20647667826 27530223768 41295335652 82590671304 397276423541 794552847082 1191829270623 1589105694164 2383658541246 3178211388328 3575487811869 4767317082492 7150975623738 9534634164984 10726463435607 14301951247476 21452926871214 28603902494952 42905853742428 85811707484856