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5981006640 = 2435721729917
BaseRepresentation
bin1011001000111111…
…01110101100110000
3120102211022121200110
411210133232230300
544222114203030
62425253421320
7301133501100
oct54437565460
916384277613
105981006640
11259a1388a4
1211ab03a840
137441788ab
1440a4a7200
152501351b0
hex1647eeb30

5981006640 has 240 divisors, whose sum is σ = 22837725792. Its totient is φ = 1286627328.

The previous prime is 5981006597. The next prime is 5981006663. The reversal of 5981006640 is 466001895.

It is a tau number, because it is divible by the number of its divisors (240).

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, 184962 + ... + 214878.

Almost surely, 25981006640 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 5981006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11418862896).

5981006640 is an abundant number, since it is smaller than the sum of its proper divisors (16856719152).

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

5981006640 is a wasteful number, since it uses less digits than its factorization.

5981006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29964 (or 29951 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 5981006640 is about 77336.9681329699. The cubic root of 5981006640 is about 1815.2011646288.

The spelling of 5981006640 in words is "five billion, nine hundred eighty-one million, six thousand, six hundred forty".