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2879640608052 = 22313113318751257
BaseRepresentation
bin101001111001110111111…
…101001001110100110100
3101012021212002211122212210
4221321313331021310310
5334140000443424202
610042515540013420
7415022115206535
oct51716775116464
911167762748783
102879640608052
11a1028106211a
123a6115991270
1317b71a0517a0
149d537d5a68c
154ed8ce4bc6c
hex29e77f49d34

2879640608052 has 96 divisors (see below), whose sum is σ = 7302488602752. Its totient is φ = 877909487616.

The previous prime is 2879640607997. The next prime is 2879640608059. The reversal of 2879640608052 is 2508060469782.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2879640607983 and 2879640608001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2879640608059) 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, 56154808 + ... + 56206064.

It is an arithmetic number, because the mean of its divisors is an integer number (76067589612).

Almost surely, 22879640608052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2879640608052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651244301376).

2879640608052 is an abundant number, since it is smaller than the sum of its proper divisors (4422847994700).

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

2879640608052 is a wasteful number, since it uses less digits than its factorization.

2879640608052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54577 (or 54575 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 2879640608052 in words is "two trillion, eight hundred seventy-nine billion, six hundred forty million, six hundred eight thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 113 156 226 339 452 678 1356 1469 2938 3187 4407 5876 6374 8814 9561 12748 17628 19122 38244 41431 51257 82862 102514 124293 153771 165724 205028 248586 307542 360131 497172 615084 666341 720262 1080393 1332682 1440524 1999023 2160786 2665364 3998046 4321572 4681703 5792041 7996092 9363406 11584082 14045109 17376123 18726812 23168164 28090218 34752246 56180436 69504492 75296533 150593066 163356059 225889599 301186132 326712118 451779198 490068177 653424236 903558396 980136354 1960272708 2123628767 4247257534 6370886301 8494515068 12741772602 18459234667 25483545204 36918469334 55377704001 73836938668 110755408002 221510816004 239970050671 479940101342 719910152013 959880202684 1439820304026 2879640608052