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30925895616 = 26327113183271
BaseRepresentation
bin11100110011010100…
…111011011111000000
32221211021112021101100
4130303110323133000
51001314012124431
622112425134400
72143241526660
oct346324733700
987737467340
1030925895616
111212a953120
125bb102a400
132bbb157525
1416d53c61a0
15c1006d4e6
hex73353b7c0

30925895616 has 672 divisors, whose sum is σ = 115882131456. Its totient is φ = 7651584000.

The previous prime is 30925895599. The next prime is 30925895621. The reversal of 30925895616 is 61659852903.

It is a happy number.

30925895616 is a `hidden beast` number, since 3 + 0 + 9 + 2 + 589 + 56 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×309258956162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114117561 + ... + 114117831.

It is an arithmetic number, because the mean of its divisors is an integer number (172443648).

Almost surely, 230925895616 is an apocalyptic number.

30925895616 is a gapful number since it is divisible by the number (36) 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 30925895616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57941065728).

30925895616 is an abundant number, since it is smaller than the sum of its proper divisors (84956235840).

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

30925895616 is a wasteful number, since it uses less digits than its factorization.

30925895616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 30925895616 in words is "thirty billion, nine hundred twenty-five million, eight hundred ninety-five thousand, six hundred sixteen".