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3675559680 = 2837513101
BaseRepresentation
bin1101101100010100…
…1001011100000000
3100111011012210000000
43123011021130000
530011420402210
61404420000000
7160040512302
oct33305113400
910434183000
103675559680
111616837431
12866b30000
134676473b0
1426c21b972
15167a39ac0
hexdb149700

3675559680 has 576 divisors, whose sum is σ = 14360653440. Its totient is φ = 895795200.

The previous prime is 3675559637. The next prime is 3675559717. The reversal of 3675559680 is 869555763.

3675559680 is a `hidden beast` number, since 3 + 6 + 7 + 5 + 559 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×36755596802 = 27019477922483404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36391630 + ... + 36391730.

It is an arithmetic number, because the mean of its divisors is an integer number (24931690).

Almost surely, 23675559680 is an apocalyptic number.

3675559680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3675559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180326720).

3675559680 is an abundant number, since it is smaller than the sum of its proper divisors (10685093760).

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

3675559680 is an equidigital number, since it uses as much as digits as its factorization.

3675559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 3675559680 is about 60626.3942520088. The cubic root of 3675559680 is about 1543.2673195142.

The spelling of 3675559680 in words is "three billion, six hundred seventy-five million, five hundred fifty-nine thousand, six hundred eighty".