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16820973720 = 23325157359829
BaseRepresentation
bin11111010101001101…
…11011000010011000
31121102021122000000200
433222212323002120
5233422132124340
611421043502200
71133560626465
oct175246730230
947367560020
1016820973720
117152001581
123315387960
131780ba07b5
14b57dda66c
15686b12330
hex3ea9bb098

16820973720 has 192 divisors, whose sum is σ = 55236168000. Its totient is φ = 4439245824.

The previous prime is 16820973671. The next prime is 16820973721. The reversal of 16820973720 is 2737902861.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16820973721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20290266 + ... + 20291094.

It is an arithmetic number, because the mean of its divisors is an integer number (287688375).

Almost surely, 216820973720 is an apocalyptic number.

16820973720 is a gapful number since it is divisible by the number (10) 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 16820973720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27618084000).

16820973720 is an abundant number, since it is smaller than the sum of its proper divisors (38415194280).

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

16820973720 is a wasteful number, since it uses less digits than its factorization.

16820973720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 16820973720 in words is "sixteen billion, eight hundred twenty million, nine hundred seventy-three thousand, seven hundred twenty".