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116040165156 = 2232172343191717
BaseRepresentation
bin110110000010010001…
…0000110011100100100
3102002112001001011021200
41230010202012130210
53400122240241111
6125150315242500
711245404062256
oct1540442063444
9362461034250
10116040165156
1145237714643
121a5a5749430
13ac339b9726
14588b489cd6
153042516256
hex1b04886724

116040165156 has 144 divisors (see below), whose sum is σ = 331619992704. Its totient is φ = 34011952128.

The previous prime is 116040165149. The next prime is 116040165161. The reversal of 116040165156 is 651561040611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 116040165156.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509410 + ... + 701126.

It is an arithmetic number, because the mean of its divisors is an integer number (2302916616).

Almost surely, 2116040165156 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 116040165156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165809996352).

116040165156 is an abundant number, since it is smaller than the sum of its proper divisors (215579827548).

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

116040165156 is a wasteful number, since it uses less digits than its factorization.

116040165156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191810 (or 191805 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 116040165156 in words is "one hundred sixteen billion, forty million, one hundred sixty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 43 46 51 68 69 86 92 102 129 138 153 172 204 207 258 276 306 387 391 414 516 612 731 774 782 828 989 1173 1462 1548 1564 1978 2193 2346 2924 2967 3519 3956 4386 4692 5934 6579 7038 8772 8901 11868 13158 14076 16813 17802 26316 33626 35604 50439 67252 100878 151317 191717 201756 302634 383434 575151 605268 766868 1150302 1725453 2300604 3259189 3450906 4409491 6518378 6901812 8243831 8818982 9777567 13036756 13228473 16487662 17637964 19555134 24731493 26456946 29332701 32975324 39110268 39685419 49462986 52913892 58665402 74194479 74961347 79370838 98925972 117330804 140145127 148388958 149922694 158741676 189608113 224884041 280290254 296777916 299845388 379216226 420435381 449768082 560580508 568824339 674652123 758432452 840870762 899536164 1137648678 1261306143 1349304246 1681741524 1706473017 2275297356 2522612286 2698608492 3223337921 3412946034 5045224572 6446675842 6825892068 9670013763 12893351684 19340027526 29010041289 38680055052 58020082578 116040165156