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6140261376 = 21034181409
BaseRepresentation
bin1011011011111110…
…01111010000000000
3120211220222121010000
411231333033100000
5100033401331001
62453143040000
7305106234444
oct55577172000
916756877100
106140261376
112671021287
121234440000
1376b168072
144236c0824
1525e0e1a86
hex16dfcf400

6140261376 has 220 divisors, whose sum is σ = 18482403940. Its totient is φ = 2030469120.

The previous prime is 6140261363. The next prime is 6140261381. The reversal of 6140261376 is 6731620416.

It is a happy number.

6140261376 is a `hidden beast` number, since 614 + 0 + 2 + 6 + 1 + 37 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2482430976 + 3657830400 = 49824^2 + 60480^2 .

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 6140261376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15012660 + ... + 15013068.

It is an arithmetic number, because the mean of its divisors is an integer number (84010927).

Almost surely, 26140261376 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 6140261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241201970).

6140261376 is an abundant number, since it is smaller than the sum of its proper divisors (12342142564).

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

6140261376 is a wasteful number, since it uses less digits than its factorization.

6140261376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6140261376 is about 78359.8199079094. The cubic root of 6140261376 is about 1831.1712147788.

The spelling of 6140261376 in words is "six billion, one hundred forty million, two hundred sixty-one thousand, three hundred seventy-six".