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116294320836 = 2235619112153
BaseRepresentation
bin110110001001110101…
…1101000001011000100
3102010011202021121100000
41230103223220023010
53401132321231321
6125231434521300
711254611263031
oct1542353501304
9363152247300
10116294320836
1145358126561
121a656896230
13ac745557c5
1458b3128388
1530599bb826
hex1b13ae82c4

116294320836 has 144 divisors (see below), whose sum is σ = 310335637248. Its totient is φ = 38069740800.

The previous prime is 116294320823. The next prime is 116294320859. The reversal of 116294320836 is 638023492611.

116294320836 is a `hidden beast` number, since 1 + 1 + 6 + 294 + 320 + 8 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 116294320791 and 116294320800.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 54013936 + ... + 54016088.

It is an arithmetic number, because the mean of its divisors is an integer number (2155108592).

Almost surely, 2116294320836 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 116294320836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155167818624).

116294320836 is an abundant number, since it is smaller than the sum of its proper divisors (194041316412).

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

116294320836 is a wasteful number, since it uses less digits than its factorization.

116294320836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 116294320836 in words is "one hundred sixteen billion, two hundred ninety-four million, three hundred twenty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 486 549 732 911 972 1098 1647 1822 2153 2196 2733 3294 3644 4306 4941 5466 6459 6588 8199 8612 9882 10932 12918 14823 16398 19377 19764 24597 25836 29646 32796 38754 49194 55571 58131 59292 73791 77508 98388 111142 116262 131333 147582 166713 174393 221373 222284 232524 262666 295164 333426 348786 393999 442746 500139 523179 525332 666852 697572 787998 885492 1000278 1046358 1181997 1500417 1575996 1961383 2000556 2092716 2363994 3000834 3545991 3922766 4501251 4727988 5884149 6001668 7091982 7845532 9002502 10637973 11768298 13503753 14183964 17652447 18005004 21275946 23536596 27007506 31913919 35304894 42551892 52957341 54015012 63827838 70609788 105914682 119644363 127655676 158872023 211829364 239288726 317744046 358933089 476616069 478577452 635488092 717866178 953232138 1076799267 1435732356 1906464276 2153598534 3230397801 4307197068 6460795602 9691193403 12921591204 19382386806 29073580209 38764773612 58147160418 116294320836