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131466239568 = 24334117334283
BaseRepresentation
bin111101001101111111…
…1111001111001010000
3110120100002220221012000
41322123333321321100
54123220324131233
6140221133434000
712332566412166
oct1723377717120
9416302827160
10131466239568
11508332a0674
122158b93b900
13c5218a6301
146512101236
15364693ed13
hex1e9bff9e50

131466239568 has 160 divisors (see below), whose sum is σ = 386873988480. Its totient is φ = 42718602240.

The previous prime is 131466239563. The next prime is 131466239579. The reversal of 131466239568 is 865932664131.

131466239568 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 6 + 623 + 9 + 5 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131466239563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30692755 + ... + 30697037.

It is an arithmetic number, because the mean of its divisors is an integer number (2417962428).

Almost surely, 2131466239568 is an apocalyptic number.

131466239568 is a gapful number since it is divisible by the number (18) 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 131466239568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193436994240).

131466239568 is an abundant number, since it is smaller than the sum of its proper divisors (255407748912).

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

131466239568 is a wasteful number, since it uses less digits than its factorization.

131466239568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6074 (or 6062 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 131466239568 in words is "one hundred thirty-one billion, four hundred sixty-six million, two hundred thirty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1733 1968 2214 2952 3466 4283 4428 5199 5904 6932 8566 8856 10398 12849 13864 15597 17132 17712 20796 25698 27728 31194 34264 38547 41592 46791 51396 62388 68528 71053 77094 83184 93582 102792 115641 124776 142106 154188 175603 187164 205584 213159 231282 249552 284212 308376 351206 374328 426318 462564 526809 568424 616752 639477 702412 748656 852636 925128 1053618 1136848 1278954 1404824 1580427 1705272 1850256 1918431 2107236 2557908 2809648 3160854 3410544 3836862 4214472 4741281 5115816 6321708 7422439 7673724 8428944 9482562 10231632 12643416 14844878 15347448 18965124 22267317 25286832 29689756 30694896 37930248 44534634 59379512 66801951 75860496 89069268 118759024 133603902 178138536 200405853 267207804 304319999 356277072 400811706 534415608 608639998 801623412 912959997 1068831216 1217279996 1603246824 1825919994 2434559992 2738879991 3206493648 3651839988 4869119984 5477759982 7303679976 8216639973 10955519964 14607359952 16433279946 21911039928 32866559892 43822079856 65733119784 131466239568