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11345786328 = 2334319755807
BaseRepresentation
bin10101001000100001…
…01111010111011000
31002021201002122220110
422210100233113120
5141214010130303
65113455324320
7551105410152
oct124420572730
932251078813
1011345786328
1148a2445218
1222478206a0
1310ba766946
14798ba1ad2
154660e4703
hex2a442f5d8

11345786328 has 64 divisors (see below), whose sum is σ = 29171957760. Its totient is φ = 3675159936.

The previous prime is 11345786327. The next prime is 11345786339. The reversal of 11345786328 is 82368754311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11345786327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175401 + ... + 231207.

It is an arithmetic number, because the mean of its divisors is an integer number (455811840).

Almost surely, 211345786328 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 11345786328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14585978880).

11345786328 is an abundant number, since it is smaller than the sum of its proper divisors (17826171432).

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

11345786328 is a wasteful number, since it uses less digits than its factorization.

11345786328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56056 (or 56052 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 11345786328 in words is "eleven billion, three hundred forty-five million, seven hundred eighty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 197 258 344 394 516 591 788 1032 1182 1576 2364 4728 8471 16942 25413 33884 50826 55807 67768 101652 111614 167421 203304 223228 334842 446456 669684 1339368 2399701 4799402 7199103 9598804 10993979 14398206 19197608 21987958 28796412 32981937 43975916 57592824 65963874 87951832 131927748 263855496 472741097 945482194 1418223291 1890964388 2836446582 3781928776 5672893164 11345786328