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2023746080608 = 257359138118223
BaseRepresentation
bin11101011100110000101…
…010101000111101100000
321011110122100021201202001
4131130300222220331200
5231124112444034413
64145410205533344
7266132212600540
oct35346052507540
97143570251661
102023746080608
117102a19a369a
12288270574254
13118ab9078045
146dd424ad320
1537997a634dd
hex1d730aa8f60

2023746080608 has 96 divisors (see below), whose sum is σ = 4569669457920. Its totient is φ = 864230100480.

The previous prime is 2023746080597. The next prime is 2023746080687. The reversal of 2023746080608 is 8060806473202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111045385 + ... + 111063607.

It is an arithmetic number, because the mean of its divisors is an integer number (47600723520).

Almost surely, 22023746080608 is an apocalyptic number.

2023746080608 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 2023746080608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284834728960).

2023746080608 is an abundant number, since it is smaller than the sum of its proper divisors (2545923377312).

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

2023746080608 is a wasteful number, since it uses less digits than its factorization.

2023746080608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19980 (or 19972 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 2023746080608 in words is "two trillion, twenty-three billion, seven hundred forty-six million, eighty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 359 718 1381 1436 2513 2762 2872 5026 5524 5744 9667 10052 11048 11488 18223 19334 20104 22096 36446 38668 40208 44192 72892 77336 80416 127561 145784 154672 255122 291568 309344 495779 510244 583136 991558 1020488 1983116 2040976 3470453 3966232 4081952 6542057 6940906 7932464 13084114 13881812 15864928 25165963 26168228 27763624 45794399 50331926 52336456 55527248 91588798 100663852 104672912 111054496 176161741 183177596 201327704 209345824 352323482 366355192 402655408 704646964 732710384 805310816 1409293928 1465420768 2818587856 5637175712 9034580717 18069161434 36138322868 63242065019 72276645736 126484130038 144553291472 252968260076 289106582944 505936520152 1011873040304 2023746080608