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2916333680238 = 23211176171404229
BaseRepresentation
bin101010011100000011000…
…010000111011001101110
3101022210120022022212020100
4222130003002013121232
5340240122410231423
610111424543531530
7420461316162426
oct52340302073156
911283508285210
102916333680238
11a248a0374370
123b12562b9ba6
13182016c67614
14a1219267486
1550cd9463343
hex2a70308766e

2916333680238 has 96 divisors (see below), whose sum is σ = 7310466315360. Its totient is φ = 830404270080.

The previous prime is 2916333680209. The next prime is 2916333680257. The reversal of 2916333680238 is 8320863336192.

It is a happy number.

2916333680238 is a `hidden beast` number, since 2 + 9 + 16 + 33 + 368 + 0 + 238 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374708 + ... + 2778936.

It is an arithmetic number, because the mean of its divisors is an integer number (76150690785).

Almost surely, 22916333680238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2916333680238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655233157680).

2916333680238 is an abundant number, since it is smaller than the sum of its proper divisors (4394132635122).

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

2916333680238 is a wasteful number, since it uses less digits than its factorization.

2916333680238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404882 (or 1404879 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 2916333680238 in words is "two trillion, nine hundred sixteen billion, three hundred thirty-three million, six hundred eighty thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 617 1122 1234 1683 1851 3366 3702 5553 6787 10489 11106 13574 20361 20978 31467 40722 61083 62934 94401 115379 122166 188802 230758 346137 692274 1038411 1404229 2076822 2808458 4212687 8425374 12638061 15446519 23871893 25276122 30893038 46339557 47743786 71615679 92679114 139018671 143231358 214847037 262590823 278037342 429694074 525181646 787772469 866409293 1575544938 1732818586 2363317407 2599227879 4726634814 5198455758 7797683637 9530502223 14728957981 15595367274 19061004446 28591506669 29457915962 44186873943 57183013338 85774520007 88373747886 132560621829 162018537791 171549040014 265121243658 324037075582 486055613373 972111226746 1458166840119 2916333680238