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475632294921 = 3672412892
BaseRepresentation
bin1101110101111011110…
…01001101110000001001
31200110200122002001000000
412322331321031300021
530243043331414141
61002300310433213
746235416541400
oct6727571156011
91613618061000
10475632294921
11173795037a63
1278220362809
1335b0c909884
1419040c2c637
15c58b70c5b6
hex6ebde4dc09

475632294921 has 189 divisors, whose sum is σ = 859937774853. Its totient is φ = 262181525760.

The previous prime is 475632294899. The next prime is 475632294953. The reversal of 475632294921 is 129492236574.

It is a happy number.

The square root of 475632294921 is 689661.

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

475632294921 is a `hidden beast` number, since 4 + 75 + 63 + 2 + 29 + 492 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 289940248521 + 185692046400 = 538461^2 + 430920^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 475632294921 - 213 = 475632286729 is a prime.

Its product of digits (6531840) is a multiple of the sum of its prime divisors (140).

It is not an unprimeable number, because it can be changed into a prime (475632293921) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 5344183045 + ... + 5344183133.

Almost surely, 2475632294921 is an apocalyptic number.

475632294921 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

475632294921 is the 689661-st square number.

475632294921 is the 344831-st centered octagonal number.

It is an amenable number.

475632294921 is a deficient number, since it is larger than the sum of its proper divisors (384305479932).

475632294921 is an frugal number, since it uses more digits than its factorization.

475632294921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 140 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 475632294921 in words is "four hundred seventy-five billion, six hundred thirty-two million, two hundred ninety-four thousand, nine hundred twenty-one".