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1992893135376 = 24311132918715351
BaseRepresentation
bin11101000000000001101…
…011111111101000010000
321001112000011000201110210
4131000001223333220100
5230122421120313001
64123304504124120
7263660515103103
oct35000153775020
97045004021423
101992893135376
116a91aa247250
1228229ba66640
13115c10083230
146c656a7673a
1536c8e104dd6
hex1d001affa10

1992893135376 has 320 divisors, whose sum is σ = 6261439242240. Its totient is φ = 537841920000.

The previous prime is 1992893135357. The next prime is 1992893135399. The reversal of 1992893135376 is 6735313982991.

It is a super-2 number, since 2×19928931353762 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372431101 + ... + 372436451.

It is an arithmetic number, because the mean of its divisors is an integer number (19566997632).

Almost surely, 21992893135376 is an apocalyptic number.

1992893135376 is a gapful number since it is divisible by the number (16) 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 1992893135376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130719621120).

1992893135376 is an abundant number, since it is smaller than the sum of its proper divisors (4268546106864).

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

1992893135376 is a wasteful number, since it uses less digits than its factorization.

1992893135376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286 (or 7280 counting only the distinct ones).

The product of its digits is 66134880, while the sum is 66.

The spelling of 1992893135376 in words is "one trillion, nine hundred ninety-two billion, eight hundred ninety-three million, one hundred thirty-five thousand, three hundred seventy-six".