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58713000640 = 2657177321121
BaseRepresentation
bin110110101011100100…
…010100101011000000
312121112210212110112021
4312223210110223000
51430221012010030
642550011211224
74145651161660
oct665344245300
9177483773467
1058713000640
1122999a5a428
12b466a46b14
1356c8c247c8
142bad9981a0
1517d977e97a
hexdab914ac0

58713000640 has 224 divisors, whose sum is σ = 171507936384. Its totient is φ = 18685624320.

The previous prime is 58713000631. The next prime is 58713000659. The reversal of 58713000640 is 4600031785.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 58713000596 and 58713000605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2769280 + ... + 2790400.

Almost surely, 258713000640 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 58713000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85753968192).

58713000640 is an abundant number, since it is smaller than the sum of its proper divisors (112794935744).

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

58713000640 is a wasteful number, since it uses less digits than its factorization.

58713000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21235 (or 21225 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 58713000640 in words is "fifty-eight billion, seven hundred thirteen million, six hundred forty", and thus it is an aban number.