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6125500656 = 24321117213381
BaseRepresentation
bin1011011010001101…
…11011100011110000
3120210220012200012200
411231012323203300
5100021112010111
62451454423200
7304536616332
oct55506734360
916726180180
106125500656
11266375a340
12122b501b00
1376809a602
1442175b452
1525cb78256
hex16d1bb8f0

6125500656 has 180 divisors, whose sum is σ = 19867613064. Its totient is φ = 1746892800.

The previous prime is 6125500643. The next prime is 6125500721. The reversal of 6125500656 is 6560055216.

It is a happy number.

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 6125500656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 451086 + ... + 464466.

Almost surely, 26125500656 is an apocalyptic number.

6125500656 is a gapful number since it is divisible by the number (66) 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 6125500656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9933806532).

6125500656 is an abundant number, since it is smaller than the sum of its proper divisors (13742112408).

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

6125500656 is a wasteful number, since it uses less digits than its factorization.

6125500656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13440 (or 13414 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 6125500656 is about 78265.5777209879. The cubic root of 6125500656 is about 1829.7027054454.

The spelling of 6125500656 in words is "six billion, one hundred twenty-five million, five hundred thousand, six hundred fifty-six".