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3679722540 = 22335132931789
BaseRepresentation
bin1101101101010100…
…0001110000101100
3100111110001021101000
43123111001300230
530014002110130
61405045120300
7160121061024
oct33325016054
910443037330
103679722540
11161912000a
128683b9090
13468474120
1426c9c2a84
151680ad260
hexdb541c2c

3679722540 has 192 divisors, whose sum is σ = 12377635200. Its totient is φ = 902181888.

The previous prime is 3679722523. The next prime is 3679722577. The reversal of 3679722540 is 452279763.

3679722540 is a `hidden beast` number, since 36 + 7 + 9 + 72 + 2 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2055966 + ... + 2057754.

It is an arithmetic number, because the mean of its divisors is an integer number (64466850).

Almost surely, 23679722540 is an apocalyptic number.

3679722540 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 3679722540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6188817600).

3679722540 is an abundant number, since it is smaller than the sum of its proper divisors (8697912660).

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

3679722540 is a wasteful number, since it uses less digits than its factorization.

3679722540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3679722540 is about 60660.7166129778. The cubic root of 3679722540 is about 1543.8497235103.

The spelling of 3679722540 in words is "three billion, six hundred seventy-nine million, seven hundred twenty-two thousand, five hundred forty".