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20356393344 = 273747592731
BaseRepresentation
bin10010111101010101…
…011110100110000000
31221112200010221000020
4102331111132212000
5313142214041334
613203540053440
71320310326360
oct227525364600
957480127006
1020356393344
1186a6720681
123b41394280
131bc548bb81
14db17789a0
157e21b8e49
hex4bd55e980

20356393344 has 256 divisors, whose sum is σ = 64204185600. Its totient is φ = 5593835520.

The previous prime is 20356393331. The next prime is 20356393367. The reversal of 20356393344 is 44339365302.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20356393296 and 20356393305.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7452459 + ... + 7455189.

It is an arithmetic number, because the mean of its divisors is an integer number (250797600).

Almost surely, 220356393344 is an apocalyptic number.

20356393344 is a gapful number since it is divisible by the number (24) 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 20356393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32102092800).

20356393344 is an abundant number, since it is smaller than the sum of its proper divisors (43847792256).

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

20356393344 is a wasteful number, since it uses less digits than its factorization.

20356393344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 42.

The spelling of 20356393344 in words is "twenty billion, three hundred fifty-six million, three hundred ninety-three thousand, three hundred forty-four".