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46818140625 = 32565772
BaseRepresentation
bin101011100110100101…
…000010000111010001
311110211211120222010100
4223212211002013101
51231340421000000
633301415123013
73245124425544
oct534645020721
9143754528110
1046818140625
1118945690003
1290a7373469
1345517b31b9
1423a1d0885b
15134037ba00
hexae69421d1

46818140625 has 63 divisors (see below), whose sum is σ = 84678427821. Its totient is φ = 24926400000.

The previous prime is 46818140623. The next prime is 46818140651. The reversal of 46818140625 is 52604181864.

It is a happy number.

The square root of 46818140625 is 216375.

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

46818140625 is a `hidden beast` number, since 4 + 6 + 8 + 1 + 8 + 14 + 0 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 43331001921 + 3487138704 = 208161^2 + 59052^2 .

It is not a de Polignac number, because 46818140625 - 21 = 46818140623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46818140623) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 81140337 + ... + 81140913.

Almost surely, 246818140625 is an apocalyptic number.

46818140625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46818140625 is the 216375-th square number.

46818140625 is the 108188-th centered octagonal number.

It is an amenable number.

46818140625 is a deficient number, since it is larger than the sum of its proper divisors (37860287196).

46818140625 is an frugal number, since it uses more digits than its factorization.

46818140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 46818140625 in words is "forty-six billion, eight hundred eighteen million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 577 625 1125 1731 1875 2885 3125 5193 5625 8655 9375 14425 15625 25965 28125 43275 46875 72125 129825 140625 216375 332929 360625 649125 998787 1081875 1664645 1803125 2996361 3245625 4993935 5409375 8323225 9015625 14981805 16228125 24969675 27046875 41616125 74909025 81140625 124848375 208080625 374545125 624241875 1040403125 1872725625 3121209375 5202015625 9363628125 15606046875 46818140625