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30992536440 = 233353137127197
BaseRepresentation
bin11100110111010011…
…001001001101111000
32221222220220222102000
4130313103021031320
51001433042131230
622123205341000
72145011133045
oct346723111570
987886828360
1030992536440
111216452a388
12600b407760
132bcbbbb078
1417001b21cc
15c15d33b60
hex7374c9378

30992536440 has 512 divisors, whose sum is σ = 110945894400. Its totient is φ = 7681443840.

The previous prime is 30992536427. The next prime is 30992536441. The reversal of 30992536440 is 4463529903.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30992536441) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 157322422 + ... + 157322618.

It is an arithmetic number, because the mean of its divisors is an integer number (216691200).

Almost surely, 230992536440 is an apocalyptic number.

30992536440 is a gapful number since it is divisible by the number (30) 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 30992536440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55472947200).

30992536440 is an abundant number, since it is smaller than the sum of its proper divisors (79953357960).

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

30992536440 is a wasteful number, since it uses less digits than its factorization.

30992536440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 30992536440 in words is "thirty billion, nine hundred ninety-two million, five hundred thirty-six thousand, four hundred forty".