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116610579240 = 23356197164231
BaseRepresentation
bin110110010011010001…
…0000011101100101000
3102010222210101012022020
41230212202003230220
53402304302013430
6125323053224440
711265501366141
oct1544642035450
9363883335266
10116610579240
11454aa6a5141
121a724792120
13acc4c2695c
145903130ac8
15307763cb10
hex1b26883b28

116610579240 has 128 divisors (see below), whose sum is σ = 359234507520. Its totient is φ = 30270873600.

The previous prime is 116610579149. The next prime is 116610579257. The reversal of 116610579240 is 42975016611.

It is a junction number, because it is equal to n+sod(n) for n = 116610579192 and 116610579201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627925 + ... + 792155.

It is an arithmetic number, because the mean of its divisors is an integer number (2806519590).

Almost surely, 2116610579240 is an apocalyptic number.

116610579240 is a gapful number since it is divisible by the number (10) 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 116610579240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179617253760).

116610579240 is an abundant number, since it is smaller than the sum of its proper divisors (242623928280).

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

116610579240 is a wasteful number, since it uses less digits than its factorization.

116610579240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164403 (or 164399 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 116610579240 in words is "one hundred sixteen billion, six hundred ten million, five hundred seventy-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 97 120 122 183 194 244 291 305 366 388 485 488 582 610 732 776 915 970 1164 1220 1455 1464 1830 1940 2328 2440 2910 3660 3880 5820 5917 7320 11640 11834 17751 23668 29585 35502 47336 59170 71004 88755 118340 142008 164231 177510 236680 328462 355020 492693 656924 710040 821155 985386 1313848 1642310 1970772 2463465 3284620 3941544 4926930 6569240 9853860 10018091 15930407 19707720 20036182 30054273 31860814 40072364 47791221 50090455 60108546 63721628 79652035 80144728 95582442 100180910 120217092 127443256 150271365 159304070 191164884 200361820 238956105 240434184 300542730 318608140 382329768 400723640 477912210 601085460 637216280 955824420 971754827 1202170920 1911648840 1943509654 2915264481 3887019308 4858774135 5830528962 7774038616 9717548270 11661057924 14576322405 19435096540 23322115848 29152644810 38870193080 58305289620 116610579240