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20442592554748 = 227133159307100019
BaseRepresentation
bin1001010010111101010010…
…11101111010111011111100
32200101021220102102211200021
410221132221131322323330
510134412412143222443
6111251110344341524
74206633333455230
oct451365135727374
980337812384607
1020442592554748
116571722618201
122361ab2a748a4
13b53960b3b7a0
145095d90525c0
15256b5ab759ed
hex1297a977aefc

20442592554748 has 192 divisors, whose sum is σ = 46371896524800. Its totient is φ = 7668516084480.

The previous prime is 20442592554731. The next prime is 20442592554833. The reversal of 20442592554748 is 84745529524402.

It is a super-2 number, since 2×204425925547482 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204337083 + ... + 204437101.

It is an arithmetic number, because the mean of its divisors is an integer number (241520294400).

Almost surely, 220442592554748 is an apocalyptic number.

20442592554748 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 20442592554748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23185948262400).

20442592554748 is an abundant number, since it is smaller than the sum of its proper divisors (25929303970052).

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

20442592554748 is a wasteful number, since it uses less digits than its factorization.

20442592554748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100440 (or 100438 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 61.

The spelling of 20442592554748 in words is "twenty trillion, four hundred forty-two billion, five hundred ninety-two million, five hundred fifty-four thousand, seven hundred forty-eight".