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20022453296640 = 293452321671093
BaseRepresentation
bin1001000110101110101110…
…01101110101111000000000
32121220010110012022011020000
410203113113031311320000
510111021441020443030
6110330104342120000
74134401025630054
oct443272715657000
977803405264200
1020022453296640
11641a5249a1143
1222b459b120000
13b23156018092
144d31402b7c64
1524ac6b1a4860
hex1235d7375e00

20022453296640 has 1200 divisors, whose sum is σ = 75485578801248. Its totient is φ = 5071949955072.

The previous prime is 20022453296627. The next prime is 20022453296707. The reversal of 20022453296640 is 4669235422002.

20022453296640 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 24 + 532 + 96 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×200224532966402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18318803934 + ... + 18318805026.

Almost surely, 220022453296640 is an apocalyptic number.

20022453296640 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 20022453296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37742789400624).

20022453296640 is an abundant number, since it is smaller than the sum of its proper divisors (55463125504608).

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

20022453296640 is a wasteful number, since it uses less digits than its factorization.

20022453296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 20022453296640 in words is "twenty trillion, twenty-two billion, four hundred fifty-three million, two hundred ninety-six thousand, six hundred forty".