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5231725766400 = 28352736771167
BaseRepresentation
bin100110000100001101100…
…1001111110011100000000
3200112010222222000201201210
41030020123021332130000
51141204033244011100
615043231023530120
71046660020164000
oct114103311763400
920463888021653
105231725766400
111737842893611
12705b3a459940
132bc471176a83
14141307184000
1591151062c50
hex4c21b27e700

5231725766400 has 1728 divisors, whose sum is σ = 20847465676800. Its totient is φ = 1154429337600.

The previous prime is 5231725766383. The next prime is 5231725766411. The reversal of 5231725766400 is 46675271325.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5231725766400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31327699117 + ... + 31327699283.

It is an arithmetic number, because the mean of its divisors is an integer number (12064505600).

Almost surely, 25231725766400 is an apocalyptic number.

5231725766400 is a gapful number since it is divisible by the number (50) 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 5231725766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10423732838400).

5231725766400 is an abundant number, since it is smaller than the sum of its proper divisors (15615739910400).

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

5231725766400 is a wasteful number, since it uses less digits than its factorization.

5231725766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 5231725766400 in words is "five trillion, two hundred thirty-one billion, seven hundred twenty-five million, seven hundred sixty-six thousand, four hundred".