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21625467349640 = 23572111487674537
BaseRepresentation
bin1001110101011000100100…
…10011001010101010001000
32211120101010000001101121212
410322230102103022222020
510313302424120142030
6113554334052352252
74361250145356500
oct472542223125210
984511100041555
1021625467349640
1169883445a9220
1225131b1315688
13c0b371505c1b
1454a96cdc8a00
152777dc1a6595
hex13ab124caa88

21625467349640 has 192 divisors, whose sum is σ = 61788544208640. Its totient is φ = 6735862533120.

The previous prime is 21625467349637. The next prime is 21625467349643. The reversal of 21625467349640 is 4694376452612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21625467349637) and next prime (21625467349643).

It is a self number, because there is not a number n which added to its sum of digits gives 21625467349640.

It is not an unprimeable number, because it can be changed into a prime (21625467349643) 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 47 ways as a sum of consecutive naturals, for example, 31722452 + ... + 32396988.

It is an arithmetic number, because the mean of its divisors is an integer number (321815334420).

Almost surely, 221625467349640 is an apocalyptic number.

21625467349640 is a gapful number since it is divisible by the number (20) 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 21625467349640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30894272104320).

21625467349640 is an abundant number, since it is smaller than the sum of its proper divisors (40163076859000).

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

21625467349640 is a wasteful number, since it uses less digits than its factorization.

21625467349640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676060 (or 676049 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 59.

The spelling of 21625467349640 in words is "twenty-one trillion, six hundred twenty-five billion, four hundred sixty-seven million, three hundred forty-nine thousand, six hundred forty".