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992304310644 = 2232232971183157
BaseRepresentation
bin11100111000010011111…
…00100010100101110100
310111212022101121220022100
432130021330202211310
5112224214400420034
62035505221102100
7131456140320633
oct16341174424564
93455271556270
10992304310644
11352919a06649
12140394857930
137275cb025ba
143605635551a
151ac2ad2c099
hexe709f22974

992304310644 has 36 divisors (see below), whose sum is σ = 2508434572644. Its totient is φ = 330753626112.

The previous prime is 992304310603. The next prime is 992304310703. The reversal of 992304310644 is 446013403299.

992304310644 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 103832172900 + 888472137744 = 322230^2 + 942588^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 992304310644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247114 + ... + 1430270.

It is an arithmetic number, because the mean of its divisors is an integer number (69678738129).

Almost surely, 2992304310644 is an apocalyptic number.

It is an amenable number.

992304310644 is an abundant number, since it is smaller than the sum of its proper divisors (1516130262000).

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

992304310644 is a wasteful number, since it uses less digits than its factorization.

992304310644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206464 (or 1206459 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 992304310644 in words is "nine hundred ninety-two billion, three hundred four million, three hundred ten thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 23297 46594 69891 93188 139782 209673 279564 419346 838692 1183157 2366314 3549471 4732628 7098942 10648413 14197884 21296826 42593652 27564008629 55128017258 82692025887 110256034516 165384051774 248076077661 330768103548 496152155322 992304310644