Search a number
-
+
2382343937292 = 22311173907115021
BaseRepresentation
bin100010101010101110110…
…000111001110100001100
322102202020122102022012110
4202222232300321310030
5303013020021443132
65022233402304020
7334055463230424
oct42525660716414
98382218368173
102382343937292
1183938a054a20
1232586a1b8010
13143866cb4917
148343db95484
1541e8480a1cc
hex22aaec39d0c

2382343937292 has 96 divisors (see below), whose sum is σ = 6105978756864. Its totient is φ = 716951865600.

The previous prime is 2382343937279. The next prime is 2382343937293. The reversal of 2382343937292 is 2927393432832.

It is not an unprimeable number, because it can be changed into a prime (2382343937293) 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, 20654742 + ... + 20769762.

It is an arithmetic number, because the mean of its divisors is an integer number (63603945384).

Almost surely, 22382343937292 is an apocalyptic number.

2382343937292 is a gapful number since it is divisible by the number (22) 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 2382343937292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052989378432).

2382343937292 is an abundant number, since it is smaller than the sum of its proper divisors (3723634819572).

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

2382343937292 is a wasteful number, since it uses less digits than its factorization.

2382343937292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116119 (or 116117 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 57.

The spelling of 2382343937292 in words is "two trillion, three hundred eighty-two billion, three hundred forty-three million, nine hundred thirty-seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 173 346 519 692 907 1038 1814 1903 2076 2721 3628 3806 5442 5709 7612 9977 10884 11418 19954 22836 29931 39908 59862 115021 119724 156911 230042 313822 345063 460084 470733 627644 690126 941466 1265231 1380252 1726021 1882932 2530462 3452042 3795693 5060924 5178063 6904084 7591386 10356126 15182772 19898633 20712252 39797266 59695899 79594532 104324047 119391798 208648094 218884963 238783596 312972141 417296188 437769926 625944282 656654889 875539852 1147564517 1251888564 1313309778 2295129034 2626619556 3442693551 4590258068 6885387102 13770774204 18048060131 36096120262 54144180393 72192240524 108288360786 198528661441 216576721572 397057322882 595585984323 794114645764 1191171968646 2382343937292