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470774376900 = 223252228712
BaseRepresentation
bin1101101100111000101…
…01101110100111000100
31200000011002001020021100
412312130111232213010
530203121220030100
61000134252420100
746004141115162
oct6663425564704
91600132036240
10470774376900
11171721954283
12772a5477630
1335517336b79
1418add994232
15c3a4ebe400
hex6d9c56e9c4

470774376900 has 81 divisors (see below), whose sum is σ = 1475680652173. Its totient is φ = 125534344800.

The previous prime is 470774376883. The next prime is 470774376901. The reversal of 470774376900 is 9673477074.

The square root of 470774376900 is 686130.

It is a perfect power (a square), and thus also a powerful number.

470774376900 is a `hidden beast` number, since 470 + 77 + 43 + 7 + 69 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 169478775684 + 301295601216 = 411678^2 + 548904^2 .

It is a super-2 number, since 2×4707743769002 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (470774376901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20572465 + ... + 20595335.

Almost surely, 2470774376900 is an apocalyptic number.

470774376900 is the 686130-th square number.

It is an amenable number.

470774376900 is an abundant number, since it is smaller than the sum of its proper divisors (1004906275273).

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

470774376900 is an equidigital number, since it uses as much as digits as its factorization.

470774376900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45762 (or 22881 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 470774376900 in words is "four hundred seventy billion, seven hundred seventy-four million, three hundred seventy-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 22871 45742 68613 91484 114355 137226 205839 228710 274452 343065 411678 457420 571775 686130 823356 1029195 1143550 1372260 1715325 2058390 2287100 3430650 4116780 5145975 6861300 10291950 20583900 523082641 1046165282 1569247923 2092330564 2615413205 3138495846 4707743769 5230826410 6276991692 7846239615 9415487538 10461652820 13077066025 15692479230 18830975076 23538718845 26154132050 31384958460 39231198075 47077437690 52308264100 78462396150 94154875380 117693594225 156924792300 235387188450 470774376900