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20090120290560 = 283352969129009
BaseRepresentation
bin1001001000101100110000…
…11110111100000100000000
32122010121010000200121102000
410210112120132330010000
510113124031243244220
6110421135052424000
74142314623606525
oct444263036740400
978117100617360
1020090120290560
116446199179211
122305724778000
13b2964b002258
144d651d10d14c
1524c8cba74390
hex1245987bc100

20090120290560 has 576 divisors, whose sum is σ = 73859645664000. Its totient is φ = 5164964904960.

The previous prime is 20090120290547. The next prime is 20090120290609. The reversal of 20090120290560 is 6509202109002.

It is a happy number.

20090120290560 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 0 + 1 + 2 + 0 + 2 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×200901202905602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 692533336 + ... + 692562344.

It is an arithmetic number, because the mean of its divisors is an integer number (128228551500).

Almost surely, 220090120290560 is an apocalyptic number.

20090120290560 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 20090120290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36929822832000).

20090120290560 is an abundant number, since it is smaller than the sum of its proper divisors (53769525373440).

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

20090120290560 is a wasteful number, since it uses less digits than its factorization.

20090120290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29759 (or 29739 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Adding to 20090120290560 its reverse (6509202109002), we get a palindrome (26599322399562).

The spelling of 20090120290560 in words is "twenty trillion, ninety billion, one hundred twenty million, two hundred ninety thousand, five hundred sixty".