Search a number
-
+
11816064624 = 243731355207
BaseRepresentation
bin10110000000100101…
…01101011001110000
31010111111000021110010
423000102231121300
5143144403031444
65232255134520
7565545615000
oct130022553160
933444007403
1011816064624
115013951271
122359214440
131164013620
1480141c000
1549253b2b9
hex2c04ad670

11816064624 has 160 divisors (see below), whose sum is σ = 38336435200. Its totient is φ = 3116268288.

The previous prime is 11816064593. The next prime is 11816064629. The reversal of 11816064624 is 42646061811.

It is a super-2 number, since 2×118160646242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11816064629) 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, 186429 + ... + 241635.

It is an arithmetic number, because the mean of its divisors is an integer number (239602720).

Almost surely, 211816064624 is an apocalyptic number.

11816064624 is a gapful number since it is divisible by the number (14) 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 11816064624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19168217600).

11816064624 is an abundant number, since it is smaller than the sum of its proper divisors (26520370576).

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

11816064624 is a wasteful number, since it uses less digits than its factorization.

11816064624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55252 (or 55232 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 11816064624 in words is "eleven billion, eight hundred sixteen million, sixty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 343 364 392 546 588 624 637 686 728 784 1029 1092 1176 1274 1372 1456 1911 2058 2184 2352 2548 2744 3822 4116 4368 4459 5096 5488 7644 8232 8918 10192 13377 15288 16464 17836 26754 30576 35672 53508 55207 71344 107016 110414 165621 214032 220828 331242 386449 441656 662484 717691 772898 883312 1159347 1324968 1435382 1545796 2153073 2318694 2649936 2705143 2870764 3091592 4306146 4637388 5023837 5410286 5741528 6183184 8115429 8612292 9274776 10047674 10820572 11483056 15071511 16230858 17224584 18549552 18936001 20095348 21641144 30143022 32461716 34449168 35166859 37872002 40190696 43282288 56808003 60286044 64923432 70333718 75744004 80381392 105500577 113616006 120572088 129846864 140667436 151488008 211001154 227232012 241144176 246168013 281334872 302976016 422002308 454464024 492336026 562669744 738504039 844004616 908928048 984672052 1477008078 1688009232 1969344104 2954016156 3938688208 5908032312 11816064624