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1980764651520 = 2173352331157
BaseRepresentation
bin11100110100101110110…
…001100000000000000000
321000100200220010220102000
4130310232301200000000
5224423101222322040
64113541204424000
7263051123511624
oct34645661400000
97010626126360
101980764651520
116a4046009876
1227ba760a8000
13114a29414075
146bc25d71184
15367ce455130
hex1cd2ec60000

1980764651520 has 1152 divisors, whose sum is σ = 7634275246080. Its totient is φ = 485826232320.

The previous prime is 1980764651491. The next prime is 1980764651521. The reversal of 1980764651520 is 251564670891.

It is a happy number.

1980764651520 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 7 + 64 + 6 + 51 + 520 = 666.

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

It is a super-2 number, since 2×19807646515202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980764651521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12616335282 + ... + 12616335438.

It is an arithmetic number, because the mean of its divisors is an integer number (6626975040).

Almost surely, 21980764651520 is an apocalyptic number.

1980764651520 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 1980764651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817137623040).

1980764651520 is an abundant number, since it is smaller than the sum of its proper divisors (5653510594560).

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

1980764651520 is an equidigital number, since it uses as much as digits as its factorization.

1980764651520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1980764651520 in words is "one trillion, nine hundred eighty billion, seven hundred sixty-four million, six hundred fifty-one thousand, five hundred twenty".