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925525340092416 = 21137219161803319
BaseRepresentation
bin1101001001110000101010100…
…1001000000111100000000000
311111101000100200021111011210010
43102130022221020013200000
51432302301344030424131
613040232245504504520
7365642666502666300
oct32234125110074000
94441010607434703
10925525340092416
112489a01020a4998
128797901791b140
13309578852383cb
14124799460c3600
1572000886b7b46
hex349c2a9207800

925525340092416 has 288 divisors, whose sum is σ = 3021385755024000. Its totient is φ = 250518135619584.

The previous prime is 925525340092387. The next prime is 925525340092417. The reversal of 925525340092416 is 614290043525529.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (925525340092417) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 75181596 + ... + 86621723.

It is an arithmetic number, because the mean of its divisors is an integer number (10490922760500).

Almost surely, 2925525340092416 is an apocalyptic number.

925525340092416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

925525340092416 is an abundant number, since it is smaller than the sum of its proper divisors (2095860414931584).

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

925525340092416 is a wasteful number, since it uses less digits than its factorization.

925525340092416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161803377 (or 161803350 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 57.

The spelling of 925525340092416 in words is "nine hundred twenty-five trillion, five hundred twenty-five billion, three hundred forty million, ninety-two thousand, four hundred sixteen".