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20490596001792 = 211327317832297
BaseRepresentation
bin1001010100010110101101…
…01100100010100000000000
32200112212210212101121112100
410222023112230202200000
510141204220034024132
6111325125545030400
74213253033154000
oct452132654424000
980485725347470
1020490596001792
116590016288494
12236b26b185400
13b58341070117
1450ba70544000
1525801a0d937c
hex12a2d6b22800

20490596001792 has 1152 divisors, whose sum is σ = 73987621344000. Its totient is φ = 5441319862272.

The previous prime is 20490596001787. The next prime is 20490596001851. The reversal of 20490596001792 is 29710069509402.

20490596001792 is a `hidden beast` number, since 2 + 0 + 49 + 0 + 596 + 0 + 0 + 1 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×204905960017922 (a number of 27 digits) contains 22 as substring.

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, 8920589188 + ... + 8920591484.

It is an arithmetic number, because the mean of its divisors is an integer number (64225365750).

Almost surely, 220490596001792 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 20490596001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36993810672000).

20490596001792 is an abundant number, since it is smaller than the sum of its proper divisors (53497025342208).

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

20490596001792 is a wasteful number, since it uses less digits than its factorization.

20490596001792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 20490596001792 in words is "twenty trillion, four hundred ninety billion, five hundred ninety-six million, one thousand, seven hundred ninety-two".