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245464021776128 = 2843113071702139
BaseRepresentation
bin110111110011111110001011…
…110100101011011100000000
31012012010010112201111202201112
4313303332023310223130000
5224133140304033314003
62230020340451222452
7102463122200223161
oct6763761364533400
91165103481452645
10245464021776128
1171237786071261
12236446a42a7a28
13a6c7208c904ac
1444887446bd768
151d5a1387513d8
hexdf3f8bd2b700

245464021776128 has 72 divisors (see below), whose sum is σ = 491482058538240. Its totient is φ = 122353492229120.

The previous prime is 245464021776121. The next prime is 245464021776167. The reversal of 245464021776128 is 821677120464542.

It is a super-2 number, since 2×2454640217761282 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245464021776121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143358083 + ... + 145060221.

It is an arithmetic number, because the mean of its divisors is an integer number (6826139701920).

Almost surely, 2245464021776128 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 245464021776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245741029269120).

245464021776128 is an abundant number, since it is smaller than the sum of its proper divisors (246018036762112).

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

245464021776128 is a wasteful number, since it uses less digits than its factorization.

245464021776128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703893 (or 1703879 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 59.

The spelling of 245464021776128 in words is "two hundred forty-five trillion, four hundred sixty-four billion, twenty-one million, seven hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 431 862 1307 1724 2614 3448 5228 6896 10456 13792 20912 27584 41824 55168 83648 110336 167296 334592 563317 1126634 1702139 2253268 3404278 4506536 6808556 9013072 13617112 18026144 27234224 36052288 54468448 72104576 108936896 144209152 217873792 435747584 733621909 1467243818 2224695673 2934487636 4449391346 5868975272 8898782692 11737950544 17797565384 23475901088 35595130768 46951802176 71190261536 93903604352 142380523072 187807208704 284761046144 569522092288 958843835063 1917687670126 3835375340252 7670750680504 15341501361008 30683002722016 61366005444032 122732010888064 245464021776128