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1470144672 = 25325104669
BaseRepresentation
bin101011110100000…
…1010000010100000
310210110100002100200
41113220022002200
511002324112142
6401514145200
751301011033
oct12750120240
93713302320
101470144672
116949494a7
12350422200
131a576b0b9
14dd37101a
15890ed64c
hex57a0a0a0

1470144672 has 36 divisors (see below), whose sum is σ = 4180724730. Its totient is φ = 490048128.

The previous prime is 1470144653. The next prime is 1470144679. The reversal of 1470144672 is 2764410741.

It is a happy number.

1470144672 is a `hidden beast` number, since 147 + 0 + 1 + 446 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 968205456 + 501939216 = 31116^2 + 22404^2 .

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

It is a super-2 number, since 2×14701446722 = 4322650713219975168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1470144679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2552047 + ... + 2552622.

Almost surely, 21470144672 is an apocalyptic number.

1470144672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1470144672 is an abundant number, since it is smaller than the sum of its proper divisors (2710580058).

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

1470144672 is a wasteful number, since it uses less digits than its factorization.

1470144672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104685 (or 5104674 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1470144672 is about 38342.4656484165. The cubic root of 1470144672 is about 1137.0686647337.

The spelling of 1470144672 in words is "one billion, four hundred seventy million, one hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5104669 10209338 15314007 20418676 30628014 40837352 45942021 61256028 81674704 91884042 122512056 163349408 183768084 245024112 367536168 490048224 735072336 1470144672