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681080071104 = 26329712190007
BaseRepresentation
bin10011110100100111000…
…10010010001111000000
32102002222122022102111200
421322103202102033000
542124322444233404
61240514525341200
7100130541040656
oct11722342221700
92362878272450
10681080071104
11242931a43024
12abbb8407800
134c2c1786044
1424d70650dd6
1512ab3087839
hex9e938923c0

681080071104 has 84 divisors (see below), whose sum is σ = 1972318914384. Its totient is φ = 224686190592.

The previous prime is 681080071099. The next prime is 681080071109. The reversal of 681080071104 is 401170080186.

It is an interprime number because it is at equal distance from previous prime (681080071099) and next prime (681080071109).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681080071109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6039132 + ... + 6150875.

It is an arithmetic number, because the mean of its divisors is an integer number (23479987076).

Almost surely, 2681080071104 is an apocalyptic number.

681080071104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

681080071104 is an abundant number, since it is smaller than the sum of its proper divisors (1291238843280).

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

681080071104 is a wasteful number, since it uses less digits than its factorization.

681080071104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12190122 (or 12190109 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 681080071104 in words is "six hundred eighty-one billion, eighty million, seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1164 1552 1746 2328 3104 3492 4656 6208 6984 9312 13968 18624 27936 55872 12190007 24380014 36570021 48760028 73140042 97520056 109710063 146280084 195040112 219420126 292560168 390080224 438840252 585120336 780160448 877680504 1170240672 1182430679 1755361008 2340481344 2364861358 3510722016 3547292037 4729722716 7021444032 7094584074 9459445432 10641876111 14189168148 18918890864 21283752222 28378336296 37837781728 42567504444 56756672592 75675563456 85135008888 113513345184 170270017776 227026690368 340540035552 681080071104