Search a number
-
+
470521152540 = 223253976584399
BaseRepresentation
bin1101101100011010011…
…11110000010000011100
31122222111102120002202100
412312031033300100130
530202111403340130
61000053205125100
745664644543555
oct6661517602034
91588442502670
10470521152540
11171601a1904a
12772346b9790
13354a6a3597a
1418ab80b932c
15c38cb4ec60
hex6d8d3f041c

470521152540 has 72 divisors (see below), whose sum is σ = 1430842795200. Its totient is φ = 125156237184.

The previous prime is 470521152539. The next prime is 470521152587. The reversal of 470521152540 is 45251125074.

470521152540 is a `hidden beast` number, since 4 + 7 + 0 + 52 + 11 + 52 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 470521152495 and 470521152504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3220740 + ... + 3363659.

It is an arithmetic number, because the mean of its divisors is an integer number (19872816600).

Almost surely, 2470521152540 is an apocalyptic number.

It is an amenable number.

470521152540 is an abundant number, since it is smaller than the sum of its proper divisors (960321642660).

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

470521152540 is a wasteful number, since it uses less digits than its factorization.

470521152540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584811 (or 6584806 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 470521152540 in words is "four hundred seventy billion, five hundred twenty-one million, one hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 794 1191 1588 1985 2382 3573 3970 4764 5955 7146 7940 11910 14292 17865 23820 35730 71460 6584399 13168798 19753197 26337596 32921995 39506394 59259591 65843990 79012788 98765985 118519182 131687980 197531970 237038364 296297955 395063940 592595910 1185191820 2614006403 5228012806 7842019209 10456025612 13070032015 15684038418 23526057627 26140064030 31368076836 39210096045 47052115254 52280128060 78420192090 94104230508 117630288135 156840384180 235260576270 470521152540