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680928957810 = 233529179485833
BaseRepresentation
bin10011110100010101000…
…01110101010101110010
32102002121002222002001000
421322022201311111302
542124020303122220
61240451530422430
7100124024433303
oct11721241652562
92362532862030
10680928957810
11242864710402
12abb75891a16
134c2993874aa
1424d585567aa
1512aa4b88390
hex9e8a875572

680928957810 has 128 divisors (see below), whose sum is σ = 1888922592000. Its totient is φ = 174339841536.

The previous prime is 680928957767. The next prime is 680928957833. The reversal of 680928957810 is 18759829086.

It is a happy number.

680928957810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6809289578102 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1158654 + ... + 1644486.

It is an arithmetic number, because the mean of its divisors is an integer number (14757207750).

Almost surely, 2680928957810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680928957810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944461296000).

680928957810 is an abundant number, since it is smaller than the sum of its proper divisors (1207993634190).

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

680928957810 is a wasteful number, since it uses less digits than its factorization.

680928957810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486057 (or 486051 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 680928957810 in words is "six hundred eighty billion, nine hundred twenty-eight million, nine hundred fifty-seven thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 179 261 270 290 358 435 522 537 783 870 895 1074 1305 1566 1611 1790 2610 2685 3222 3915 4833 5191 5370 7830 8055 9666 10382 15573 16110 24165 25955 31146 46719 48330 51910 77865 93438 140157 155730 233595 280314 467190 485833 700785 971666 1401570 1457499 2429165 2914998 4372497 4858330 7287495 8744994 13117491 14089157 14574990 21862485 26234982 28178314 42267471 43724970 65587455 70445785 84534942 86964107 126802413 131174910 140891570 173928214 211337355 253604826 260892321 380407239 422674710 434820535 521784642 634012065 760814478 782676963 869641070 1268024130 1304461605 1565353926 1902036195 2348030889 2521959103 2608923210 3804072390 3913384815 4696061778 5043918206 7565877309 7826769630 11740154445 12609795515 15131754618 22697631927 23480308890 25219591030 37829386545 45395263854 68092895781 75658773090 113488159635 136185791562 226976319270 340464478905 680928957810