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2642831334 = 23311131918013
BaseRepresentation
bin1001110110000110…
…0110011111100110
320211011221202001000
42131201212133212
520403031100314
61114125014130
7122330460423
oct23541463746
96734852030
102642831334
11113689a330
126190b4346
133316bb430
141b0dd0d4a
15107041209
hex9d8667e6

2642831334 has 128 divisors (see below), whose sum is σ = 7263244800. Its totient is φ = 700306560.

The previous prime is 2642831329. The next prime is 2642831357. The reversal of 2642831334 is 4331382462.

2642831334 is a `hidden beast` number, since 2 + 642 + 8 + 3 + 1 + 3 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137712 + ... + 155724.

It is an arithmetic number, because the mean of its divisors is an integer number (56744100).

Almost surely, 22642831334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642831334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631622400).

2642831334 is an abundant number, since it is smaller than the sum of its proper divisors (4620413466).

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

2642831334 is a wasteful number, since it uses less digits than its factorization.

2642831334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18067 (or 18061 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 2642831334 is about 51408.4753129287. The cubic root of 2642831334 is about 1382.5785532202.

The spelling of 2642831334 in words is "two billion, six hundred forty-two million, eight hundred thirty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 27 33 38 39 54 57 66 78 99 114 117 143 171 198 209 234 247 286 297 342 351 418 429 494 513 594 627 702 741 858 1026 1254 1287 1482 1881 2223 2574 2717 3762 3861 4446 5434 5643 6669 7722 8151 11286 13338 16302 18013 24453 36026 48906 54039 73359 108078 146718 162117 198143 234169 324234 342247 396286 468338 486351 594429 684494 702507 972702 1026741 1188858 1405014 1783287 2053482 2107521 2575859 3080223 3566574 3764717 4215042 4449211 5151718 5349861 6160446 6322563 7529434 7727577 8898422 9240669 10699722 11294151 12645126 13347633 15455154 18481338 22588302 23182731 26695266 33882453 40042899 46365462 48941321 67764906 69548193 80085798 97882642 101647359 120128697 139096386 146823963 203294718 240257394 293647926 440471889 880943778 1321415667 2642831334