Search a number
-
+
231610945464 = 2332127157161333
BaseRepresentation
bin1101011110110100010…
…1101000111110111000
3211010211100212002121100
43113231011220332320
512243314400223324
6254222310211400
722506351360603
oct3275505507670
9733740762540
10231610945464
118a253382418
1238a7a053b60
1318ac1380032
14b2d246d33a
1560587104c9
hex35ed168fb8

231610945464 has 96 divisors (see below), whose sum is σ = 636249669120. Its totient is φ = 76107403008.

The previous prime is 231610945453. The next prime is 231610945487. The reversal of 231610945464 is 464549016132.

231610945464 is a `hidden beast` number, since 2 + 3 + 1 + 6 + 10 + 94 + 546 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354942 + ... + 1516274.

It is an arithmetic number, because the mean of its divisors is an integer number (6627600720).

Almost surely, 2231610945464 is an apocalyptic number.

231610945464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231610945464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318124834560).

231610945464 is an abundant number, since it is smaller than the sum of its proper divisors (404638723656).

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

231610945464 is a wasteful number, since it uses less digits than its factorization.

231610945464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161629 (or 161622 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 231610945464 in words is "two hundred thirty-one billion, six hundred ten million, nine hundred forty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 157 254 314 381 471 508 628 762 942 1016 1143 1256 1413 1524 1884 2286 2826 3048 3768 4572 5652 9144 11304 19939 39878 59817 79756 119634 159512 161333 179451 239268 322666 358902 478536 483999 645332 717804 967998 1290664 1435608 1451997 1935996 2903994 3871992 5807988 11615976 20489291 25329281 40978582 50658562 61467873 75987843 81957164 101317124 122935746 151975686 163914328 184403619 202634248 227963529 245871492 303951372 368807238 455927058 491742984 607902744 737614476 911854116 1475228952 1823708232 3216818687 6433637374 9650456061 12867274748 19300912122 25734549496 28951368183 38601824244 57902736366 77203648488 115805472732 231610945464