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470231966720 = 21051931211739
BaseRepresentation
bin1101101011111000000…
…00100110010000000000
31122221202021101221101102
412311330000212100000
530201013340413340
61000004354553532
745654533524325
oct6657400462000
91587667357342
10470231966720
111714737604aa
12771738988a8
133545bb531b9
1418a8b91cb4c
15c37257a215
hex6d7c026400

470231966720 has 352 divisors, whose sum is σ = 1233152102400. Its totient is φ = 171395481600.

The previous prime is 470231966713. The next prime is 470231966741. The reversal of 470231966720 is 27669132074.

It is a super-2 number, since 2×4702319667202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636308111 + ... + 636308849.

Almost surely, 2470231966720 is an apocalyptic number.

470231966720 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 470231966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616576051200).

470231966720 is an abundant number, since it is smaller than the sum of its proper divisors (762920135680).

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

470231966720 is a wasteful number, since it uses less digits than its factorization.

470231966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 47.

The spelling of 470231966720 in words is "four hundred seventy billion, two hundred thirty-one million, nine hundred sixty-six thousand, seven hundred twenty".