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36498940416 = 293319791759
BaseRepresentation
bin100001111111100000…
…011010001000000000
310111012200012021122000
4201333200122020000
51044222212043131
624433430544000
72431322606001
oct417740321000
9114180167560
1036498940416
111452a778174
1270a7508000
133598934883
141aa36151a8
15e3946ace6
hex87f81a200

36498940416 has 320 divisors, whose sum is σ = 115230720000. Its totient is φ = 11373613056.

The previous prime is 36498940403. The next prime is 36498940421. The reversal of 36498940416 is 61404989463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20748945 + ... + 20750703.

It is an arithmetic number, because the mean of its divisors is an integer number (360096000).

Almost surely, 236498940416 is an apocalyptic number.

36498940416 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 36498940416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57615360000).

36498940416 is an abundant number, since it is smaller than the sum of its proper divisors (78731779584).

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

36498940416 is a wasteful number, since it uses less digits than its factorization.

36498940416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 36498940416 in words is "thirty-six billion, four hundred ninety-eight million, nine hundred forty thousand, four hundred sixteen".