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163182873681 = 321943732
BaseRepresentation
bin1001011111111001110…
…1010000110001010001
3120121012111100212212100
42113332131100301101
510133144303424211
6202544251151013
714534552353212
oct2277635206121
9517174325770
10163182873681
1163229529283
1227761745469
13125077c0029
147c80521409
1543a1106156
hex25fe750c51

163182873681 has 45 divisors (see below), whose sum is σ = 249472238379. Its totient is φ = 102786559632.

The previous prime is 163182873671. The next prime is 163182873683. The reversal of 163182873681 is 186378281361.

It is a happy number.

The square root of 163182873681 is 403959.

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

163182873681 is a `hidden beast` number, since 16 + 318 + 287 + 36 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88699730625 + 74483143056 = 297825^2 + 272916^2 .

It is a de Polignac number, because none of the positive numbers 2k-163182873681 is a prime.

It is a super-2 number, since 2×1631828736812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (163182873683) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 437487411 + ... + 437487783.

Almost surely, 2163182873681 is an apocalyptic number.

163182873681 is the 403959-th square number.

163182873681 is the 201980-th centered octagonal number.

It is an amenable number.

163182873681 is a deficient number, since it is larger than the sum of its proper divisors (86289364698).

163182873681 is an frugal number, since it uses more digits than its factorization.

163182873681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 395 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 163182873681 in words is "one hundred sixty-three billion, one hundred eighty-two million, eight hundred seventy-three thousand, six hundred eighty-one".

Divisors: 1 3 9 19 57 171 361 373 1083 1119 3249 3357 6859 7087 20577 21261 61731 63783 130321 134653 139129 390963 403959 417387 1172889 1211877 1252161 2558407 2643451 7675221 7930353 23025663 23791059 48609733 50225569 145829199 150676707 437487597 452030121 954285811 2862857433 8588572299 18131430409 54394291227 163182873681