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59940970000 = 2454291391487
BaseRepresentation
bin110111110100110000…
…101001111000010000
312201201101111202210221
4313310300221320100
51440224342020000
643311515002424
74221251560402
oct676460517020
9181641452727
1059940970000
112346a129a3a
12b74a139414
13586345c8b2
142c88ac8b72
15185c49261a
hexdf4c29e10

59940970000 has 200 divisors, whose sum is σ = 151309065600. Its totient is φ = 22967616000.

The previous prime is 59940969997. The next prime is 59940970003. The reversal of 59940970000 is 7904995.

It is an interprime number because it is at equal distance from previous prime (59940969997) and next prime (59940970003).

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (59940970003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40309257 + ... + 40310743.

It is an arithmetic number, because the mean of its divisors is an integer number (756545328).

Almost surely, 259940970000 is an apocalyptic number.

59940970000 is a gapful number since it is divisible by the number (50) 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 59940970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75654532800).

59940970000 is an abundant number, since it is smaller than the sum of its proper divisors (91368095600).

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

59940970000 is a wasteful number, since it uses less digits than its factorization.

59940970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The spelling of 59940970000 in words is "fifty-nine billion, nine hundred forty million, nine hundred seventy thousand".