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20996000740 = 2251113471091433
BaseRepresentation
bin10011100011011101…
…011000101111100100
32000012020200100102001
4103203131120233210
5320444434010430
613351225055044
71342205030101
oct234335305744
960166610361
1020996000740
1189a4771130
12409b627484
131c97b446a0
1410326b1aa8
1582d40c3ca
hex4e3758be4

20996000740 has 192 divisors, whose sum is σ = 53424645120. Its totient is φ = 6829608960.

The previous prime is 20996000699. The next prime is 20996000743. The reversal of 20996000740 is 4700069902.

20996000740 is a nontrivial binomial coefficient, being equal to C(204920, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 20996000740.

It is not an unprimeable number, because it can be changed into a prime (20996000743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14651064 + ... + 14652496.

It is an arithmetic number, because the mean of its divisors is an integer number (278253360).

Almost surely, 220996000740 is an apocalyptic number.

20996000740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20996000740 is the 204919-th triangular number and also the 102460-th hexagonal number.

20996000740 is the 68307-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20996000740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26712322560).

20996000740 is an abundant number, since it is smaller than the sum of its proper divisors (32428644380).

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

20996000740 is a wasteful number, since it uses less digits than its factorization.

20996000740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 20996000740 in words is "twenty billion, nine hundred ninety-six million, seven hundred forty", and thus it is an aban number.