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201960058608 = 2432711294115319
BaseRepresentation
bin1011110000010111000…
…0011110111011110000
3201022021221110222102200
42330011300132323300
511302103233333413
6232440144543200
720406521113410
oct2740560367360
9638257428380
10201960058608
1178718208250
1233184021b00
1316077420579
149abc540640
1553c0597573
hex2f05c1eef0

201960058608 has 480 divisors, whose sum is σ = 746802201600. Its totient is φ = 49409740800.

The previous prime is 201960058591. The next prime is 201960058609. The reversal of 201960058608 is 806850069102.

201960058608 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 60 + 0 + 586 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201960058609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13175973 + ... + 13191291.

It is an arithmetic number, because the mean of its divisors is an integer number (1555837920).

Almost surely, 2201960058608 is an apocalyptic number.

201960058608 is a gapful number since it is divisible by the number (28) 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 201960058608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373401100800).

201960058608 is an abundant number, since it is smaller than the sum of its proper divisors (544842142992).

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

201960058608 is a wasteful number, since it uses less digits than its factorization.

201960058608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15421 (or 15412 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 201960058608 in words is "two hundred one billion, nine hundred sixty million, fifty-eight thousand, six hundred eight".