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4497685920 = 2533571317673
BaseRepresentation
bin1000011000001010…
…10011110110100000
3102121110012010012000
410030011103312200
533202401422140
62022145004000
7216312461640
oct41405236640
912543163160
104497685920
1119a8910002
12a56323600
13568a76420
143094a6520
151b4cd2a30
hex10c153da0

4497685920 has 768 divisors, whose sum is σ = 20544814080. Its totient is φ = 891813888.

The previous prime is 4497685897. The next prime is 4497685943. The reversal of 4497685920 is 295867944.

4497685920 is a `hidden beast` number, since 4 + 49 + 7 + 6 + 8 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4497685897) and next prime (4497685943).

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

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 127 ways as a sum of consecutive naturals, for example, 6682704 + ... + 6683376.

It is an arithmetic number, because the mean of its divisors is an integer number (26751060).

Almost surely, 24497685920 is an apocalyptic number.

4497685920 is a gapful number since it is divisible by the number (40) 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 4497685920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10272407040).

4497685920 is an abundant number, since it is smaller than the sum of its proper divisors (16047128160).

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

4497685920 is a wasteful number, since it uses less digits than its factorization.

4497685920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 4497685920 is about 67064.7889730520. The cubic root of 4497685920 is about 1650.6805787459.

The spelling of 4497685920 in words is "four billion, four hundred ninety-seven million, six hundred eighty-five thousand, nine hundred twenty".