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470387468100 = 2235211142541657
BaseRepresentation
bin1101101100001010100…
…01110010011101000100
31122222011010000020011210
412312011101302131010
530201323142434400
61000032031531420
745661432336164
oct6660521623504
91588133006153
10470387468100
1117154350aa40
12771b7989b70
133548512a154
1418aa443a5a4
15c381044950
hex6d85472744

470387468100 has 72 divisors (see below), whose sum is σ = 1484713909728. Its totient is φ = 114033324800.

The previous prime is 470387468069. The next prime is 470387468101. The reversal of 470387468100 is 1864783074.

It is a super-2 number, since 2×4703874681002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 470387468100.

It is not an unprimeable number, because it can be changed into a prime (470387468101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71267529 + ... + 71274128.

It is an arithmetic number, because the mean of its divisors is an integer number (20621026524).

Almost surely, 2470387468100 is an apocalyptic number.

It is an amenable number.

470387468100 is an abundant number, since it is smaller than the sum of its proper divisors (1014326441628).

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

470387468100 is a wasteful number, since it uses less digits than its factorization.

470387468100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142541685 (or 142541678 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 470387468100 in words is "four hundred seventy billion, three hundred eighty-seven million, four hundred sixty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 142541657 285083314 427624971 570166628 712708285 855249942 1425416570 1567958227 1710499884 2138124855 2850833140 3135916454 3563541425 4276249710 4703874681 6271832908 7127082850 7839791135 8552499420 9407749362 10690624275 14254165700 15679582270 18815498724 21381248550 23519373405 31359164540 39198955675 42762497100 47038746810 78397911350 94077493620 117596867025 156795822700 235193734050 470387468100