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39050000640 = 2833573141127
BaseRepresentation
bin100100010111100011…
…111011100100000000
310201210110110120101000
4210113203323210000
51114433300010030
625534521012000
72551460346240
oct442743734400
9121713416330
1039050000640
1115619786502
127699924000
1338b4300b71
141c66357b20
1510383d0860
hex9178fb900

39050000640 has 1152 divisors, whose sum is σ = 168784035840. Its totient is φ = 8360755200.

The previous prime is 39050000617. The next prime is 39050000699. The reversal of 39050000640 is 4600005093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 307480257 + ... + 307480383.

It is an arithmetic number, because the mean of its divisors is an integer number (146513920).

Almost surely, 239050000640 is an apocalyptic number.

39050000640 is a gapful number since it is divisible by the number (30) 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 39050000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84392017920).

39050000640 is an abundant number, since it is smaller than the sum of its proper divisors (129734035200).

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

39050000640 is a wasteful number, since it uses less digits than its factorization.

39050000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 39050000640 in words is "thirty-nine billion, fifty million, six hundred forty", and thus it is an aban number.