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116963084616 = 233717124932789
BaseRepresentation
bin110110011101110001…
…0110000100101001000
3102011220100200022202220
41230323202300211020
53404020022201431
6125422044454040
711310311546460
oct1547342604510
9364810608686
10116963084616
11456706806a4
121a80284a320
13b04cc79311
145937c90ba0
15309856db96
hex1b3b8b0948

116963084616 has 128 divisors (see below), whose sum is σ = 354132000000. Its totient is φ = 31426117632.

The previous prime is 116963084611. The next prime is 116963084647. The reversal of 116963084616 is 616480369611.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (116963084611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3550750 + ... + 3583538.

It is an arithmetic number, because the mean of its divisors is an integer number (2766656250).

Almost surely, 2116963084616 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 116963084616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177066000000).

116963084616 is an abundant number, since it is smaller than the sum of its proper divisors (237168915384).

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

116963084616 is a wasteful number, since it uses less digits than its factorization.

116963084616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34071 (or 34067 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 116963084616 in words is "one hundred sixteen billion, nine hundred sixty-three million, eighty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1249 1428 2498 2856 3747 4996 7494 8743 9992 14988 17486 21233 26229 29976 32789 34972 42466 52458 63699 65578 69944 84932 98367 104916 127398 131156 148631 169864 196734 209832 229523 254796 262312 297262 393468 445893 459046 509592 557413 594524 688569 786936 891786 918092 1114826 1189048 1377138 1672239 1783572 1836184 2229652 2754276 3344478 3567144 3901891 4459304 5508552 6688956 7803782 11705673 13377912 15607564 23411346 31215128 40953461 46822692 81906922 93645384 122860383 163813844 245720766 286674227 327627688 491441532 573348454 696208837 860022681 982883064 1146696908 1392417674 1720045362 2088626511 2293393816 2784835348 3440090724 4177253022 4873461859 5569670696 6880181448 8354506044 9746923718 14620385577 16709012088 19493847436 29240771154 38987694872 58481542308 116963084616