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6109136352 = 2532112383843
BaseRepresentation
bin1011011000010001…
…00000010111100000
3120202202102021121100
411230020200113200
5100002414330402
62450111554400
7304250542104
oct55410402740
916682367540
106109136352
1126554a2620
121225b2ba00
1376488aca7
1441d4db904
1525b4e471c
hex16c2205e0

6109136352 has 144 divisors (see below), whose sum is σ = 19776451968. Its totient is φ = 1770743040.

The previous prime is 6109136347. The next prime is 6109136353. The reversal of 6109136352 is 2536319016.

6109136352 is a `hidden beast` number, since 6 + 1 + 0 + 9 + 13 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6109136353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30943 + ... + 114785.

It is an arithmetic number, because the mean of its divisors is an integer number (137336472).

Almost surely, 26109136352 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 6109136352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9888225984).

6109136352 is an abundant number, since it is smaller than the sum of its proper divisors (13667315616).

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

6109136352 is a wasteful number, since it uses less digits than its factorization.

6109136352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83893 (or 83882 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 6109136352 is about 78160.9643748080. The cubic root of 6109136352 is about 1828.0718992001.

The spelling of 6109136352 in words is "six billion, one hundred nine million, one hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 88 92 96 99 132 138 144 176 184 198 207 253 264 276 288 352 368 396 414 506 528 552 736 759 792 828 1012 1056 1104 1518 1584 1656 2024 2208 2277 3036 3168 3312 4048 4554 6072 6624 8096 9108 12144 18216 24288 36432 72864 83843 167686 251529 335372 503058 670744 754587 922273 1006116 1341488 1509174 1844546 1928389 2012232 2682976 2766819 3018348 3689092 3856778 4024464 5533638 5785167 6036696 7378184 7713556 8048928 8300457 11067276 11570334 12073392 14756368 15427112 16600914 17355501 21212279 22134552 23140668 24146784 29512736 30854224 33201828 34711002 42424558 44269104 46281336 61708448 63636837 66403656 69422004 84849116 88538208 92562672 127273674 132807312 138844008 169698232 185125344 190910511 254547348 265614624 277688016 339396464 381821022 509094696 555376032 678792928 763642044 1018189392 1527284088 2036378784 3054568176 6109136352