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21248319708 = 223371123159127
BaseRepresentation
bin10011110010011111…
…111010000011011100
32000211211110110222000
4103302133322003130
5322004032212313
613432241122300
71351360510650
oct236237720334
960754413860
1021248319708
119014139100
124150029390
1320081b9755
141057dd2a60
1584564d673
hex4f27fa0dc

21248319708 has 576 divisors, whose sum is σ = 73216819200. Its totient is φ = 5209142400.

The previous prime is 21248319679. The next prime is 21248319713. The reversal of 21248319708 is 80791384212.

It is a happy number.

21248319708 is a `hidden beast` number, since 21 + 248 + 319 + 70 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 167309541 + ... + 167309667.

Almost surely, 221248319708 is an apocalyptic number.

21248319708 is a gapful number since it is divisible by the number (28) 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 21248319708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36608409600).

21248319708 is an abundant number, since it is smaller than the sum of its proper divisors (51968499492).

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

21248319708 is a wasteful number, since it uses less digits than its factorization.

21248319708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 21248319708 in words is "twenty-one billion, two hundred forty-eight million, three hundred nineteen thousand, seven hundred eight".