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4992324480 = 27325112131929
BaseRepresentation
bin1001010011001000…
…01101001110000000
3110212220221100201200
410221210031032000
540211013340410
62143214501200
7234500025603
oct45144151600
913786840650
104992324480
112132045300
12b73b04800
136173a2070
1435506433a
151e343c3c0
hex12990d380

4992324480 has 1152 divisors, whose sum is σ = 22221108000. Its totient is φ = 1021870080.

The previous prime is 4992324473. The next prime is 4992324503. The reversal of 4992324480 is 844232994.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 172149106 + ... + 172149134.

Almost surely, 24992324480 is an apocalyptic number.

4992324480 is a gapful number since it is divisible by the number (40) 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 4992324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11110554000).

4992324480 is an abundant number, since it is smaller than the sum of its proper divisors (17228783520).

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

4992324480 is a wasteful number, since it uses less digits than its factorization.

4992324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4992324480 is about 70656.3831511350. The cubic root of 4992324480 is about 1709.1005015855.

The spelling of 4992324480 in words is "four billion, nine hundred ninety-two million, three hundred twenty-four thousand, four hundred eighty".