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20414152923736 = 231113316771121007
BaseRepresentation
bin1001010010001000010100…
…10101010101101001011000
32200021120111102020220011011
410221010022111111221120
510133431141122024421
6111230044332343304
74204605511546135
oct451041225255130
980246442226134
1020414152923736
116560659147520
122358496614b34
13b5107ab14860
1450809bd4358c
1525604401d4e1
hex12910a555a58

20414152923736 has 256 divisors, whose sum is σ = 47775584747520. Its totient is φ = 8050287168000.

The previous prime is 20414152923719. The next prime is 20414152923751. The reversal of 20414152923736 is 63732925141402.

It is a self number, because there is not a number n which added to its sum of digits gives 20414152923736.

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, 168641745 + ... + 168762751.

It is an arithmetic number, because the mean of its divisors is an integer number (186623377920).

Almost surely, 220414152923736 is an apocalyptic number.

20414152923736 is a gapful number since it is divisible by the number (26) 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 20414152923736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23887792373760).

20414152923736 is an abundant number, since it is smaller than the sum of its proper divisors (27361431823784).

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

20414152923736 is a wasteful number, since it uses less digits than its factorization.

20414152923736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121206 (or 121202 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 20414152923736 in words is "twenty trillion, four hundred fourteen billion, one hundred fifty-two million, nine hundred twenty-three thousand, seven hundred thirty-six".