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5648087040 = 21135533469
BaseRepresentation
bin1010100001010011…
…01111100000000000
3112120121212112211220
411100221233200000
543031402241130
62332242035040
7256651643031
oct52051574000
915517775756
105648087040
11243921a432
121117648a80
136c01c2c4b
143b81a4a88
15230cc2410
hex150a6f800

5648087040 has 192 divisors, whose sum is σ = 18415706400. Its totient is φ = 1477312512.

The previous prime is 5648086999. The next prime is 5648087057. The reversal of 5648087040 is 407808465.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×56480870402 = 63801774422831923200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5648086983 and 5648087001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1626426 + ... + 1629894.

Almost surely, 25648087040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5648087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9207853200).

5648087040 is an abundant number, since it is smaller than the sum of its proper divisors (12767619360).

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

5648087040 is a wasteful number, since it uses less digits than its factorization.

5648087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 5648087040 is about 75153.7559939621. The cubic root of 5648087040 is about 1780.8764610134.

The spelling of 5648087040 in words is "five billion, six hundred forty-eight million, eighty-seven thousand, forty".