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721990932480 = 21132531252713
BaseRepresentation
bin10101000000110100000…
…00110101100000000000
32120000120210022111220200
422200122000311200000
543312114134314410
61311402243205200
7103106415445206
oct12403200654000
92500523274820
10721990932480
11259216071764
12b7b15376800
135311146591c
1426d31ba5076
1513ba99e43c0
hexa81a035800

721990932480 has 288 divisors, whose sum is σ = 2583020119680. Its totient is φ = 186319503360.

The previous prime is 721990932457. The next prime is 721990932493. The reversal of 721990932480 is 84239099127.

721990932480 is a `hidden beast` number, since 72 + 1 + 9 + 9 + 0 + 93 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2730604 + ... + 2983316.

It is an arithmetic number, because the mean of its divisors is an integer number (8968819860).

Almost surely, 2721990932480 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 721990932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291510059840).

721990932480 is an abundant number, since it is smaller than the sum of its proper divisors (1861029187200).

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

721990932480 is a wasteful number, since it uses less digits than its factorization.

721990932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252777 (or 252754 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 721990932480 in words is "seven hundred twenty-one billion, nine hundred ninety million, nine hundred thirty-two thousand, four hundred eighty".