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2380813512 = 2337117871637
BaseRepresentation
bin1000110111101000…
…0101010011001000
320010220220212011020
42031322011103020
514333442013022
61032125032440
7112666403160
oct21572052310
96126825136
102380813512
1110119a8480
125653b5720
132bc32b8bc
141882a75a0
15de03635c
hex8de854c8

2380813512 has 128 divisors (see below), whose sum is σ = 7434685440. Its totient is φ = 617230080.

The previous prime is 2380813483. The next prime is 2380813517. The reversal of 2380813512 is 2153180832.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2380813517) 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, 1453558 + ... + 1455194.

It is an arithmetic number, because the mean of its divisors is an integer number (58083480).

Almost surely, 22380813512 is an apocalyptic number.

2380813512 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 2380813512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717342720).

2380813512 is an abundant number, since it is smaller than the sum of its proper divisors (5053871928).

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

2380813512 is a wasteful number, since it uses less digits than its factorization.

2380813512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 2380813512 is about 48793.5806433592. The cubic root of 2380813512 is about 1335.2885538220.

The spelling of 2380813512 in words is "two billion, three hundred eighty million, eight hundred thirteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 787 924 1574 1637 1848 2361 3148 3274 4722 4911 5509 6296 6548 8657 9444 9822 11018 11459 13096 16527 17314 18007 18888 19644 22036 22918 25971 33054 34377 34628 36014 39288 44072 45836 51942 54021 60599 66108 68754 69256 72028 91672 103884 108042 121198 126049 132216 137508 144056 181797 207768 216084 242396 252098 275016 363594 378147 432168 484792 504196 727188 756294 1008392 1288319 1454376 1512588 2576638 3025176 3864957 5153276 7729914 9018233 10306552 14171509 15459828 18036466 27054699 28343018 30919656 36072932 42514527 54109398 56686036 72145864 85029054 99200563 108218796 113372072 170058108 198401126 216437592 297601689 340116216 396802252 595203378 793604504 1190406756 2380813512