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213173894640 = 24357678092341
BaseRepresentation
bin1100011010001000100…
…1110111110111110000
3202101020110021212120010
43012202021313313300
511443040004112030
6241533012214520
721254435131050
oct3064211676760
9671213255503
10213173894640
1182452119233
123539360a440
1317143737ac5
14a463995560
155829cc56b0
hex31a2277df0

213173894640 has 320 divisors, whose sum is σ = 767792286720. Its totient is φ = 47918407680.

The previous prime is 213173894639. The next prime is 213173894653. The reversal of 213173894640 is 46498371312.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 213173894640.

It is a congruent number.

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, 91059870 + ... + 91062210.

It is an arithmetic number, because the mean of its divisors is an integer number (2399350896).

Almost surely, 2213173894640 is an apocalyptic number.

213173894640 is a gapful number since it is divisible by the number (20) 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 213173894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383896143360).

213173894640 is an abundant number, since it is smaller than the sum of its proper divisors (554618392080).

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

213173894640 is a wasteful number, since it uses less digits than its factorization.

213173894640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 213173894640 in words is "two hundred thirteen billion, one hundred seventy-three million, eight hundred ninety-four thousand, six hundred forty".