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9923818464 = 253372371341
BaseRepresentation
bin10010011111000000…
…10111001111100000
3221121121102012201000
421033200113033200
5130310444142324
64320421512000
7500631031230
oct111740271740
927547365630
109923818464
11423281176a
121b0b572600
13c21c96141
146a1db1cc0
153d13609c9
hex24f8173e0

9923818464 has 192 divisors, whose sum is σ = 34518113280. Its totient is φ = 2712061440.

The previous prime is 9923818453. The next prime is 9923818483. The reversal of 9923818464 is 4648183299.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9923818464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103434 + ... + 174774.

It is an arithmetic number, because the mean of its divisors is an integer number (179781840).

Almost surely, 29923818464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9923818464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17259056640).

9923818464 is an abundant number, since it is smaller than the sum of its proper divisors (24594294816).

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

9923818464 is a wasteful number, since it uses less digits than its factorization.

9923818464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71390 (or 71376 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 9923818464 is about 99618.3640901616. The cubic root of 9923818464 is about 2148.9497999873.

The spelling of 9923818464 in words is "nine billion, nine hundred twenty-three million, eight hundred eighteen thousand, four hundred sixty-four".