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471490822144 = 21653135743
BaseRepresentation
bin1101101110001110000…
…10110000000000000000
31200002000000011102101101
412313013002300000000
530211103122302034
61000333324344144
746030660601626
oct6670702600000
91602000142341
10471490822144
11171a5a306191
12774653a5054
13355cc8b3674
1418b6abad516
15c3e7d3e514
hex6dc70b0000

471490822144 has 68 divisors (see below), whose sum is σ = 960773498496. Its totient is φ = 231295680512.

The previous prime is 471490822087. The next prime is 471490822147. The reversal of 471490822144 is 441228094174.

It is a junction number, because it is equal to n+sod(n) for n = 471490822094 and 471490822103.

It is not an unprimeable number, because it can be changed into a prime (471490822147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3405537 + ... + 3541279.

Almost surely, 2471490822144 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 471490822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480386749248).

471490822144 is an abundant number, since it is smaller than the sum of its proper divisors (489282676352).

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

471490822144 is an frugal number, since it uses more digits than its factorization.

471490822144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135828 (or 135798 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 471490822144 in words is "four hundred seventy-one billion, four hundred ninety million, eight hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 2048 3392 4096 6784 8192 13568 16384 27136 32768 54272 65536 108544 135743 217088 271486 434176 542972 868352 1085944 1736704 2171888 3473408 4343776 7194379 8687552 14388758 17375104 28777516 34750208 57555032 69500416 115110064 139000832 230220128 278001664 460440256 556003328 920880512 1112006656 1841761024 2224013312 3683522048 4448026624 7367044096 8896053248 14734088192 29468176384 58936352768 117872705536 235745411072 471490822144