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2112907368 = 2331113761809
BaseRepresentation
bin111110111110000…
…0110100001101000
312110020210211000110
41331330012201220
513311401013433
6545354534320
7103234262535
oct17574064150
95406724013
102112907368
11994754640
124ab7373a0
13278989b60
14160889d8c
15c5766963
hex7df06868

2112907368 has 128 divisors (see below), whose sum is σ = 6221577600. Its totient is φ = 589516800.

The previous prime is 2112907367. The next prime is 2112907387. The reversal of 2112907368 is 8637092112.

2112907368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2112907361) 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, 2611348 + ... + 2612156.

It is an arithmetic number, because the mean of its divisors is an integer number (48606075).

Almost surely, 22112907368 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 2112907368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110788800).

2112907368 is an abundant number, since it is smaller than the sum of its proper divisors (4108670232).

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

2112907368 is a wasteful number, since it uses less digits than its factorization.

2112907368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2112907368 is about 45966.3721431222. The cubic root of 2112907368 is about 1283.1974439500.

The spelling of 2112907368 in words is "two billion, one hundred twelve million, nine hundred seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 761 809 858 1144 1522 1618 1716 2283 2427 3044 3236 3432 4566 4854 6088 6472 8371 8899 9132 9708 9893 10517 16742 17798 18264 19416 19786 21034 25113 26697 29679 31551 33484 35596 39572 42068 50226 53394 59358 63102 66968 71192 79144 84136 100452 106788 108823 115687 118716 126204 200904 213576 217646 231374 237432 252408 326469 347061 435292 462748 615649 652938 694122 870584 925496 1231298 1305876 1388244 1846947 2462596 2611752 2776488 3693894 4925192 6772139 7387788 8003437 13544278 14775576 16006874 20316417 24010311 27088556 32013748 40632834 48020622 54177112 64027496 81265668 88037807 96041244 162531336 176075614 192082488 264113421 352151228 528226842 704302456 1056453684 2112907368