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116114166008763 = 3131723151446311299
BaseRepresentation
bin11010011001101011101111…
…100111100100101110111011
3120020010101221212120111001020
4122121223233213210232323
5110204403302444240023
61050542040024353523
733312654164221446
oct3231535747445673
9506111855514036
10116114166008763
1133aa78176927aa
12110338533158a3
134ca3698c652a0
142095d5431c65d
15d655e13aade3
hex699aef9e4bbb

116114166008763 has 128 divisors (see below), whose sum is σ = 185488927948800. Its totient is φ = 63881675827200.

The previous prime is 116114166008761. The next prime is 116114166008773. The reversal of 116114166008763 is 367800661411611.

It is not a de Polignac number, because 116114166008763 - 21 = 116114166008761 is a prime.

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 (116114166008761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10276493688 + ... + 10276504986.

It is an arithmetic number, because the mean of its divisors is an integer number (1449132249600).

Almost surely, 2116114166008763 is an apocalyptic number.

116114166008763 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

116114166008763 is a deficient number, since it is larger than the sum of its proper divisors (69374761940037).

116114166008763 is a wasteful number, since it uses less digits than its factorization.

116114166008763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15969.

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 116114166008763 in words is "one hundred sixteen trillion, one hundred fourteen billion, one hundred sixty-six million, eight thousand, seven hundred sixty-three".

Divisors: 1 3 13 17 23 39 51 69 151 221 299 391 453 663 897 1173 1963 2567 3473 4463 5083 5889 7701 10419 11299 13389 15249 33371 33897 45149 58019 59041 75871 100113 102649 135447 146887 174057 177123 192083 227613 259877 307947 440661 576249 673913 767533 779631 986323 1334437 1706149 1745033 2021739 2302599 2497079 2958969 3378401 4003311 4417909 5118447 5235099 7491237 8760869 10135203 11456521 13253727 15499999 22179937 22685429 26282607 29004533 34369563 39241427 46499997 50427437 57432817 66539811 68056287 87013599 117724281 148934773 151282311 172298451 201499987 263499983 377058929 446804319 510138551 604499961 655556681 667104259 790499949 857266429 1131176787 1159831051 1530415653 1966670043 2001312777 2571799287 3425499779 3479493153 7614542987 8672355367 10276499337 11144463577 15077803663 19717127867 22843628961 26017066101 33433390731 45233410989 59151383601 98989058831 129447230779 175134488701 256322662271 296967176493 388341692337 525403466103 768967986813 1682814000127 2276748353113 2977286307917 5048442000381 6830245059339 8931858923751 38704722002921 116114166008763