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2023602899248 = 247224111639209
BaseRepresentation
bin11101011100101000001…
…000011100100100110000
321011110021100212100211201
4131130220020130210300
5231123314320233443
64145344053020544
7266125523560300
oct35345010344460
97143240770751
102023602899248
11710229099397
12288230624754
13118a954c5948
146dd2b47b600
153798a1ce34d
hex1d72821c930

2023602899248 has 120 divisors (see below), whose sum is σ = 4584210230160. Its totient is φ = 862823485440.

The previous prime is 2023602899243. The next prime is 2023602899261. The reversal of 2023602899248 is 8429982063202.

It is a happy number.

It is a super-2 number, since 2×20236028992482 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2023602899243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219737268 + ... + 219746476.

It is an arithmetic number, because the mean of its divisors is an integer number (38201751918).

Almost surely, 22023602899248 is an apocalyptic number.

2023602899248 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 2023602899248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292105115080).

2023602899248 is an abundant number, since it is smaller than the sum of its proper divisors (2560607330912).

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

2023602899248 is a wasteful number, since it uses less digits than its factorization.

2023602899248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10635 (or 10622 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 2023602899248 in words is "two trillion, twenty-three billion, six hundred two million, eight hundred ninety-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 241 392 482 784 964 1163 1687 1928 2326 3374 3856 4652 6748 8141 9209 9304 11809 13496 16282 18418 18608 23618 26992 32564 36836 47236 56987 64463 65128 73672 94472 113974 128926 130256 147344 188944 227948 257852 280283 451241 455896 515704 560566 902482 911792 1031408 1121132 1804964 1961981 2219369 2242264 3609928 3923962 4438738 4484528 7219856 7847924 8877476 10710067 13733867 15535583 15695848 17754952 21420134 27467734 31071166 31391696 35509904 42840268 54935468 62142332 74970469 85680536 108749081 109870936 124284664 149940938 171361072 217498162 219741872 248569328 299881876 434996324 524793283 599763752 869992648 1049586566 1199527504 1739985296 2099173132 2581126147 4198346264 5162252294 8396692528 10324504588 18067883029 20649009176 36135766058 41298018352 72271532116 126475181203 144543064232 252950362406 289086128464 505900724812 1011801449624 2023602899248