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60005010996 = 223273143732447
BaseRepresentation
bin110111111000100100…
…111100111000110100
312201212212000101112200
4313320210330320310
51440342240322441
643322123344500
74222660115010
oct677044747064
9181785011480
1060005010996
11234a229a987
12b767682130
1358737c2c88
142c933d9540
151862de27b6
hexdf893ce34

60005010996 has 288 divisors, whose sum is σ = 185685147648. Its totient is φ = 15976880640.

The previous prime is 60005010991. The next prime is 60005011009. The reversal of 60005010996 is 69901050006.

60005010996 is a `hidden beast` number, since 60 + 0 + 0 + 501 + 0 + 9 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 60005010996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60005010991) 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, 24520645 + ... + 24523091.

It is an arithmetic number, because the mean of its divisors is an integer number (644740096).

Almost surely, 260005010996 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 60005010996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92842573824).

60005010996 is an abundant number, since it is smaller than the sum of its proper divisors (125680136652).

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

60005010996 is a wasteful number, since it uses less digits than its factorization.

60005010996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 60005010996 in words is "sixty billion, five million, ten thousand, nine hundred ninety-six".