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21306523392 = 283373111943
BaseRepresentation
bin10011110101111101…
…111011111100000000
32000222212222112102000
4103311331323330000
5322113432222032
613442120424000
71352665314000
oct236575737400
960885875360
1021306523392
119043a82420
124167618000
132017287bbb
141061a24000
1584a7e8e7c
hex4f5f7bf00

21306523392 has 1152 divisors, whose sum is σ = 86338560000. Its totient is φ = 5120962560.

The previous prime is 21306523391. The next prime is 21306523397. The reversal of 21306523392 is 29332560312.

21306523392 is a `hidden beast` number, since 213 + 0 + 6 + 52 + 3 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21306523391) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 495500523 + ... + 495500565.

Almost surely, 221306523392 is an apocalyptic number.

21306523392 is a gapful number since it is divisible by the number (22) 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 21306523392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43169280000).

21306523392 is an abundant number, since it is smaller than the sum of its proper divisors (65032036608).

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

21306523392 is a wasteful number, since it uses less digits than its factorization.

21306523392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 21306523392 in words is "twenty-one billion, three hundred six million, five hundred twenty-three thousand, three hundred ninety-two".