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20733996920832 = 21232131747173313
BaseRepresentation
bin1001011011011100000101…
…00001010111000000000000
32201102011001220011102101200
410231232002201113000000
510204201211202431312
6112033022223301200
74236660525634446
oct455560241270000
981364056142350
1020733996920832
116674269800518
1223aa47974a800
13b75290bc9a80
1451976075cb96
1525e5138d00dc
hex12db82857000

20733996920832 has 1248 divisors, whose sum is σ = 70372171554048. Its totient is φ = 5824025985024.

The previous prime is 20733996920807. The next prime is 20733996920867. The reversal of 20733996920832 is 23802969933702.

20733996920832 is a `hidden beast` number, since 2 + 0 + 7 + 3 + 399 + 6 + 9 + 208 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a self number, because there is not a number n which added to its sum of digits gives 20733996920832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66242801508 + ... + 66242801820.

It is an arithmetic number, because the mean of its divisors is an integer number (56387957976).

Almost surely, 220733996920832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20733996920832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35186085777024).

20733996920832 is an abundant number, since it is smaller than the sum of its proper divisors (49638174633216).

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

20733996920832 is a wasteful number, since it uses less digits than its factorization.

20733996920832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 20733996920832 in words is "twenty trillion, seven hundred thirty-three billion, nine hundred ninety-six million, nine hundred twenty thousand, eight hundred thirty-two".