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6139727640 = 23335192313009
BaseRepresentation
bin1011011011111010…
…01100111100011000
3120211212222110222000
411231331030330120
5100033232241030
62453123401000
7305101552404
oct55575147430
916755873860
106139727640
112670797282
121234223160
1376b00c147
144235c2104
1525e038860
hex16df4cf18

6139727640 has 256 divisors, whose sum is σ = 22481280000. Its totient is φ = 1483536384.

The previous prime is 6139727593. The next prime is 6139727669. The reversal of 6139727640 is 467279316.

6139727640 is a `hidden beast` number, since 613 + 9 + 7 + 27 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465456 + ... + 478464.

It is an arithmetic number, because the mean of its divisors is an integer number (87817500).

Almost surely, 26139727640 is an apocalyptic number.

6139727640 is a gapful number since it is divisible by the number (60) 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 6139727640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11240640000).

6139727640 is an abundant number, since it is smaller than the sum of its proper divisors (16341552360).

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

6139727640 is a wasteful number, since it uses less digits than its factorization.

6139727640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13071 (or 13061 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 6139727640 is about 78356.4141599142. The cubic root of 6139727640 is about 1831.1181556738.

The spelling of 6139727640 in words is "six billion, one hundred thirty-nine million, seven hundred twenty-seven thousand, six hundred forty".