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6116893146 = 2337213213679
BaseRepresentation
bin1011011001001100…
…00110000111011010
3120210022000100221000
411230212012013122
5100011411040041
62450550125430
7304403506500
oct55446060732
916708010830
106116893146
1126599103a1
121228650876
13766375800
1442055a670
1525c027bb6
hex16c9861da

6116893146 has 144 divisors (see below), whose sum is σ = 17123529600. Its totient is φ = 1613128608.

The previous prime is 6116893127. The next prime is 6116893163. The reversal of 6116893146 is 6413986116.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 440335 + ... + 454013.

It is an arithmetic number, because the mean of its divisors is an integer number (118913400).

Almost surely, 26116893146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6116893146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8561764800).

6116893146 is an abundant number, since it is smaller than the sum of its proper divisors (11006636454).

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

6116893146 is a wasteful number, since it uses less digits than its factorization.

6116893146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13730 (or 13704 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 6116893146 is about 78210.5692729570. The cubic root of 6116893146 is about 1828.8452752877.

The spelling of 6116893146 in words is "six billion, one hundred sixteen million, eight hundred ninety-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 169 182 189 234 273 294 338 351 378 441 507 546 637 702 819 882 1014 1183 1274 1323 1521 1638 1911 2366 2457 2646 3042 3549 3822 4563 4914 5733 7098 8281 9126 10647 11466 13679 16562 17199 21294 24843 27358 31941 34398 41037 49686 63882 74529 82074 95753 123111 149058 177827 191506 223587 246222 287259 355654 369333 447174 533481 574518 670271 738666 861777 1066962 1244789 1340542 1600443 1723554 2010813 2311751 2489578 2585331 3200886 3734367 4021626 4623502 4801329 5170662 6032439 6935253 7468734 8713523 9602658 11203101 12064878 13870506 16182257 17427046 18097317 20805759 22406202 26140569 32364514 33609303 36194634 41611518 48546771 52281138 62417277 67218606 78421707 97093542 113275799 124834554 145640313 156843414 226551598 235265121 291280626 339827397 436920939 470530242 679654794 873841878 1019482191 2038964382 3058446573 6116893146