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5913152640 = 273251971761
BaseRepresentation
bin1011000000111001…
…11000110010000000
3120021002122021111100
411200130320302000
544102231341030
62414431214400
7266350653033
oct54034706200
916232567440
105913152640
11256490310a
121190377400
137330abab5
1440148301a
152491d0360
hex160738c80

5913152640 has 384 divisors, whose sum is σ = 21824899200. Its totient is φ = 1470873600.

The previous prime is 5913152617. The next prime is 5913152671. The reversal of 5913152640 is 462513195.

5913152640 is a `hidden beast` number, since 5 + 9 + 1 + 3 + 1 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5913152595 and 5913152604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7769860 + ... + 7770620.

It is an arithmetic number, because the mean of its divisors is an integer number (56835675).

Almost surely, 25913152640 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 5913152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10912449600).

5913152640 is an abundant number, since it is smaller than the sum of its proper divisors (15911746560).

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

5913152640 is a wasteful number, since it uses less digits than its factorization.

5913152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5913152640 is about 76897.0262103809. The cubic root of 5913152640 is about 1808.3106078725.

The spelling of 5913152640 in words is "five billion, nine hundred thirteen million, one hundred fifty-two thousand, six hundred forty".