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468834446320 = 24525123348329
BaseRepresentation
bin1101101001010001011…
…01011110101111110000
31122211010212201112210121
412310220231132233300
530140133104240240
6555213553140024
745605104016662
oct6645055365760
91584125645717
10468834446320
11170916905769
1276a4385a614
1335298462256
1418998094532
15c2dea2504a
hex6d28b5ebf0

468834446320 has 40 divisors (see below), whose sum is σ = 1094382923760. Its totient is φ = 186786624000.

The previous prime is 468834446299. The next prime is 468834446369. The reversal of 468834446320 is 23644438864.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11654085 + ... + 11694244.

It is an arithmetic number, because the mean of its divisors is an integer number (27359573094).

Almost surely, 2468834446320 is an apocalyptic number.

468834446320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468834446320 is an abundant number, since it is smaller than the sum of its proper divisors (625548477440).

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

468834446320 is a wasteful number, since it uses less digits than its factorization.

468834446320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23348593 (or 23348587 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 52.

The spelling of 468834446320 in words is "four hundred sixty-eight billion, eight hundred thirty-four million, four hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 251 502 1004 1255 2008 2510 4016 5020 10040 20080 23348329 46696658 93393316 116741645 186786632 233483290 373573264 466966580 933933160 1867866320 5860430579 11720861158 23441722316 29302152895 46883444632 58604305790 93766889264 117208611580 234417223160 468834446320