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116521736436 = 22347199258173
BaseRepresentation
bin110110010000100111…
…1001001100011110100
3102010202121012111220000
41230201033021203310
53402114031031221
6125310201111300
711263342263210
oct1544117114364
9363677174800
10116521736436
1145464534236
121a6baa88530
13acac6bb651
1458d5405940
15306e93de26
hex1b213c98f4

116521736436 has 120 divisors (see below), whose sum is σ = 349877404800. Its totient is φ = 33124500288.

The previous prime is 116521736393. The next prime is 116521736467. The reversal of 116521736436 is 634637125611.

116521736436 is a `hidden beast` number, since 1 + 16 + 521 + 73 + 6 + 43 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 116521736391 and 116521736400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 322246 + ... + 580418.

It is an arithmetic number, because the mean of its divisors is an integer number (2915645040).

Almost surely, 2116521736436 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 116521736436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174938702400).

116521736436 is an abundant number, since it is smaller than the sum of its proper divisors (233355668364).

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

116521736436 is a wasteful number, since it uses less digits than its factorization.

116521736436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258395 (or 258384 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 116521736436 in words is "one hundred sixteen billion, five hundred twenty-one million, seven hundred thirty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 199 252 324 378 398 567 597 756 796 1134 1194 1393 1791 2268 2388 2786 3582 4179 5373 5572 7164 8358 10746 12537 16119 16716 21492 25074 32238 37611 50148 64476 75222 112833 150444 225666 258173 451332 516346 774519 1032692 1549038 1807211 2323557 3098076 3614422 4647114 5421633 6970671 7228844 9294228 10843266 13941342 16264899 20912013 21686532 27882684 32529798 41824026 48794697 51376427 65059596 83648052 97589394 102752854 146384091 154129281 195178788 205505708 292768182 308258562 359634989 462387843 585536364 616517124 719269978 924775686 1078904967 1387163529 1438539956 1849551372 2157809934 2774327058 3236714901 4161490587 4315619868 5548654116 6473429802 8322981174 9710144703 12946859604 16645962348 19420289406 29130434109 38840578812 58260868218 116521736436