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11385452592 = 2432739411151
BaseRepresentation
bin10101001101010000…
…00011100000110000
31002101110201220210100
422212220003200300
5141304133440332
65121433432400
7552066515223
oct124650034060
932343656710
1011385452592
114912878058
122258b6b700
1310c5a445c7
147a01695ba
1546982c67c
hex2a6a03830

11385452592 has 120 divisors (see below), whose sum is σ = 32362357248. Its totient is φ = 3735936000.

The previous prime is 11385452579. The next prime is 11385452641. The reversal of 11385452592 is 29525458311.

11385452592 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 5 + 4 + 52 + 592 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9891217 + ... + 9892367.

Almost surely, 211385452592 is an apocalyptic number.

11385452592 is a gapful number since it is divisible by the number (12) 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 11385452592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16181178624).

11385452592 is an abundant number, since it is smaller than the sum of its proper divisors (20976904656).

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

11385452592 is a wasteful number, since it uses less digits than its factorization.

11385452592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2170 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 11385452592 in words is "eleven billion, three hundred eighty-five million, four hundred fifty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 941 1151 1168 1314 1752 1882 2302 2628 2823 3453 3504 3764 4604 5256 5646 6906 7528 8469 9208 10359 10512 11292 13812 15056 16938 18416 20718 22584 27624 33876 41436 45168 55248 67752 68693 82872 84023 135504 137386 165744 168046 206079 252069 274772 336092 412158 504138 549544 618237 672184 756207 824316 1008276 1083091 1099088 1236474 1344368 1512414 1648632 2016552 2166182 2472948 3024828 3249273 3297264 4033104 4332364 4945896 6049656 6498546 8664728 9747819 9891792 12099312 12997092 17329456 19495638 25994184 38991276 51988368 77982552 79065643 155965104 158131286 237196929 316262572 474393858 632525144 711590787 948787716 1265050288 1423181574 1897575432 2846363148 3795150864 5692726296 11385452592