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116165556061002 = 23272474396383317
BaseRepresentation
bin11010011010011011100110…
…101101000100001101001010
3120020022022121100000121212100
4122122123212231010031022
5110211224024322423002
61051021415243454230
733316453525365600
oct3232334655041512
9506268540017770
10116165556061002
1134017598a6a658
12110417b5827376
134ca84989ac916
14209862b4d1870
15d66aecccd11c
hex69a6e6b4434a

116165556061002 has 144 divisors (see below), whose sum is σ = 299695248103680. Its totient is φ = 32409984793536.

The previous prime is 116165556060947. The next prime is 116165556061003. The reversal of 116165556061002 is 200160655561611.

116165556061002 is a `hidden beast` number, since 1 + 16 + 1 + 65 + 5 + 560 + 6 + 10 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (116165556061003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15006648 + ... + 21389964.

It is an arithmetic number, because the mean of its divisors is an integer number (2081217000720).

Almost surely, 2116165556061002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116165556061002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149847624051840).

116165556061002 is an abundant number, since it is smaller than the sum of its proper divisors (183529692042678).

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

116165556061002 is a wasteful number, since it uses less digits than its factorization.

116165556061002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383825 (or 6383815 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 116165556061002 in words is "one hundred sixteen trillion, one hundred sixty-five billion, five hundred fifty-six million, sixty-one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 49 63 94 98 126 141 147 282 294 329 423 439 441 658 846 878 882 987 1317 1974 2303 2634 2961 3073 3951 4606 5922 6146 6909 7902 9219 13818 18438 20633 20727 21511 27657 41266 41454 43022 55314 61899 64533 123798 129066 144431 185697 193599 288862 371394 387198 433293 866586 1011017 1299879 2022034 2599758 3033051 6066102 6383317 9099153 12766634 18198306 19149951 38299902 44683219 57449853 89366438 114899706 134049657 268099314 300015899 312782533 402148971 600031798 625565066 804297942 900047697 938347599 1800095394 1876695198 2100111293 2700143091 2802276163 2815042797 4200222586 5400286182 5604552326 5630085594 6300333879 8406828489 12600667758 14700779051 16813656978 18901001637 19615933141 25220485467 29401558102 37802003274 39231866282 44102337153 50440970934 58847799423 88204674306 117695598846 131706979661 132307011459 137311531987 176543398269 263413959322 264614022918 274623063974 353086796538 395120938983 411934595961 790241877966 823869191922 921948857627 1185362816949 1235803787883 1843897715254 2370725633898 2471607575766 2765846572881 5531693145762 6453642003389 8297539718643 12907284006778 16595079437286 19360926010167 38721852020334 58082778030501 116165556061002