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213373990368 = 253372112231811
BaseRepresentation
bin1100011010111000010…
…1001011010111100000
3202101202101210210022000
43012232011023113200
511443442220142433
6242004521044000
721262414664400
oct3065605132740
9671671723260
10213373990368
1182545067100
123542a626600
1317176026846
14a4823a0800
15583c64d113
hex31ae14b5e0

213373990368 has 864 divisors, whose sum is σ = 830799970560. Its totient is φ = 52982899200.

The previous prime is 213373990343. The next prime is 213373990393. The reversal of 213373990368 is 863099373312.

213373990368 is a `hidden beast` number, since 213 + 3 + 7 + 399 + 0 + 36 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (213373990343) and next prime (213373990393).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117820183 + ... + 117821993.

It is an arithmetic number, because the mean of its divisors is an integer number (961574040).

Almost surely, 2213373990368 is an apocalyptic number.

213373990368 is a gapful number since it is divisible by the number (28) 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 213373990368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415399985280).

213373990368 is an abundant number, since it is smaller than the sum of its proper divisors (617425980192).

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

213373990368 is a wasteful number, since it uses less digits than its factorization.

213373990368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 213373990368 in words is "two hundred thirteen billion, three hundred seventy-three million, nine hundred ninety thousand, three hundred sixty-eight".