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2298728475008 = 27767263314543
BaseRepresentation
bin100001011100110110111…
…001001110100110000000
322010202102100011201022222
4201130312321032212000
5300130243442200013
64520004332550212
7325035430434440
oct41346671164600
98122370151288
102298728475008
11806981329589
12311613622368
131389ccb17b14
147d38aba4120
153ebddc23508
hex21736e4e980

2298728475008 has 128 divisors (see below), whose sum is σ = 5314210053120. Its totient is φ = 970030043136.

The previous prime is 2298728475007. The next prime is 2298728475013. The reversal of 2298728475008 is 8005748278922.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2298728475007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 158056985 + ... + 158071527.

It is an arithmetic number, because the mean of its divisors is an integer number (41517266040).

Almost surely, 22298728475008 is an apocalyptic number.

2298728475008 is a gapful number since it is divisible by the number (28) 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 2298728475008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657105026560).

2298728475008 is an abundant number, since it is smaller than the sum of its proper divisors (3015481578112).

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

2298728475008 is a wasteful number, since it uses less digits than its factorization.

2298728475008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17264 (or 17252 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 62.

The spelling of 2298728475008 in words is "two trillion, two hundred ninety-eight billion, seven hundred twenty-eight million, four hundred seventy-five thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 268 448 469 536 896 938 1072 1876 2144 2633 3752 4288 5266 7504 8576 10532 14543 15008 18431 21064 29086 30016 36862 42128 58172 60032 73724 84256 101801 116344 147448 168512 176411 203602 232688 294896 337024 352822 407204 465376 589792 705644 814408 930752 974381 1179584 1234877 1411288 1628816 1861504 1948762 2359168 2469754 2822576 3257632 3897524 4939508 5645152 6515264 6820667 7795048 9879016 11290304 13030528 13641334 15590096 19758032 22580608 27282668 31180192 38291719 39516064 54565336 62360384 76583438 79032128 109130672 124720768 153166876 158064256 218261344 268042033 306333752 436522688 536084066 612667504 873045376 1072168132 1225335008 2144336264 2450670016 2565545173 4288672528 4901340032 5131090346 8577345056 10262180692 17154690112 17958816211 20524361384 34309380224 35917632422 41048722768 71835264844 82097445536 143670529688 164194891072 287341059376 328389782144 574682118752 1149364237504 2298728475008