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2684704248100 = 2252717225605399
BaseRepresentation
bin100111000100010100110…
…101111101000100100100
3100111122200122200112200101
4213010110311331010210
5322441233241414400
65413200333153444
7364651321404520
oct47042465750444
910448618615611
102684704248100
11945638615706
1237439202b884
13166221b13c34
1493d24584d80
1549c7e30056a
hex27114d7d124

2684704248100 has 72 divisors (see below), whose sum is σ = 7049717539200. Its totient is φ = 866324728320.

The previous prime is 2684704248053. The next prime is 2684704248103. The reversal of 2684704248100 is 18424074862.

It is a super-2 number, since 2×26847042481002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2684704248103) 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 23 ways as a sum of consecutive naturals, for example, 112790800 + ... + 112814599.

It is an arithmetic number, because the mean of its divisors is an integer number (97912743600).

Almost surely, 22684704248100 is an apocalyptic number.

2684704248100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2684704248100 is an abundant number, since it is smaller than the sum of its proper divisors (4365013291100).

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

2684704248100 is a wasteful number, since it uses less digits than its factorization.

2684704248100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225605437 (or 225605430 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The spelling of 2684704248100 in words is "two trillion, six hundred eighty-four billion, seven hundred four million, two hundred forty-eight thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11900 225605399 451210798 902421596 1128026995 1579237793 2256053990 3158475586 3835291783 4512107980 5640134975 6316951172 7670583566 7896188965 11280269950 15341167132 15792377930 19176458915 22560539900 26847042481 31584755860 38352917830 39480944825 53694084962 76705835660 78961889650 95882294575 107388169924 134235212405 157923779300 191764589150 268470424810 383529178300 536940849620 671176062025 1342352124050 2684704248100