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6157066240 = 21351331373
BaseRepresentation
bin1011011101111110…
…10110000000000000
3120220002121101001101
411232333112000000
5100102202104430
62454543144144
7305402125303
oct55677260000
916802541041
106157066240
11267a559aa6
121239ba5054
137717a0080
14425a16b3a
15260810dca
hex16efd6000

6157066240 has 224 divisors, whose sum is σ = 16470026496. Its totient is φ = 2194145280.

The previous prime is 6157066231. The next prime is 6157066247. The reversal of 6157066240 is 426607516.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6157066240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6157066247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16506694 + ... + 16507066.

It is an arithmetic number, because the mean of its divisors is an integer number (73526904).

Almost surely, 26157066240 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 6157066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8235013248).

6157066240 is an abundant number, since it is smaller than the sum of its proper divisors (10312960256).

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

6157066240 is a wasteful number, since it uses less digits than its factorization.

6157066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 6157066240 is about 78466.9754737622. The cubic root of 6157066240 is about 1832.8402291100.

The spelling of 6157066240 in words is "six billion, one hundred fifty-seven million, sixty-six thousand, two hundred forty".