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1685680596930 = 2351116743277069
BaseRepresentation
bin11000100001111010011…
…001001010011111000010
312222011000222102210000010
4120201322121022133002
5210104233213100210
63330220241205350
7232533510442521
oct30417231123702
95864028383003
101685680596930
1159a99082a080
12232843030856
13c2c60bc42c5
145b831a904b8
152dcad647920
hex1887a64a7c2

1685680596930 has 128 divisors (see below), whose sum is σ = 4441500241920. Its totient is φ = 406051511040.

The previous prime is 1685680596917. The next prime is 1685680596937. The reversal of 1685680596930 is 396950865861.

It is a super-2 number, since 2×16856805969302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (1685680596937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238457436 + ... + 238464504.

It is an arithmetic number, because the mean of its divisors is an integer number (34699220640).

Almost surely, 21685680596930 is an apocalyptic number.

1685680596930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1685680596930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220750120960).

1685680596930 is an abundant number, since it is smaller than the sum of its proper divisors (2755819644990).

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

1685680596930 is a wasteful number, since it uses less digits than its factorization.

1685680596930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11584.

The product of its (nonzero) digits is 83980800, while the sum is 66.

The spelling of 1685680596930 in words is "one trillion, six hundred eighty-five billion, six hundred eighty million, five hundred ninety-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 167 330 334 501 835 1002 1670 1837 2505 3674 4327 5010 5511 7069 8654 9185 11022 12981 14138 18370 21207 21635 25962 27555 35345 42414 43270 47597 55110 64905 70690 77759 95194 106035 129810 142791 155518 212070 233277 237985 285582 388795 466554 475970 713955 722609 777590 1166385 1180523 1427910 1445218 2167827 2332770 2361046 3541569 3613045 4335654 5902615 7083138 7226090 7948699 10839135 11805230 12985753 15897398 17707845 21678270 23846097 25971506 30587563 35415690 38957259 39743495 47692194 61175126 64928765 77914518 79486990 91762689 119230485 129857530 152937815 183525378 194786295 238460970 305875630 336463193 389572590 458813445 672926386 917626890 1009389579 1682315965 2018779158 3364631930 5046947895 5108123021 10093895790 10216246042 15324369063 25540615105 30648738126 51081230210 56189353231 76621845315 112378706462 153243690630 168568059693 280946766155 337136119386 561893532310 842840298465 1685680596930