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5605960640 = 265721931607
BaseRepresentation
bin1010011100010010…
…00010101111000000
3112110200121022021212
411032021002233000
542440111220030
62324135105252
7255630610400
oct51611025700
915420538255
105605960640
112417467225
121105512228
136b4563597
143b275a800
1522c250595
hex14e242bc0

5605960640 has 336 divisors, whose sum is σ = 16901038080. Its totient is φ = 1759242240.

The previous prime is 5605960603. The next prime is 5605960643. The reversal of 5605960640 is 460695065.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5605960643) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9235217 + ... + 9235823.

Almost surely, 25605960640 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 5605960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8450519040).

5605960640 is an abundant number, since it is smaller than the sum of its proper divisors (11295077440).

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

5605960640 is a wasteful number, since it uses less digits than its factorization.

5605960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 5605960640 is about 74872.9633445879. The cubic root of 5605960640 is about 1776.4378367528.

The spelling of 5605960640 in words is "five billion, six hundred five million, nine hundred sixty thousand, six hundred forty".