Search a number
-
+
116464146160 = 2452953947171
BaseRepresentation
bin110110001110111001…
…1011101011011110000
3102010121120211121212211
41230131303131123300
53402004310134120
6125300342501504
711262042623425
oct1543563353360
9363546747784
10116464146160
1145434a7986a
121a6a3734894
13aca07a646b
1458cb8d3d4c
15306986525a
hex1b1dcdd6f0

116464146160 has 80 divisors (see below), whose sum is σ = 285401867040. Its totient is φ = 44130544640.

The previous prime is 116464146049. The next prime is 116464146163. The reversal of 116464146160 is 61641464611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116464146163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350626 + ... + 596545.

It is an arithmetic number, because the mean of its divisors is an integer number (3567523338).

Almost surely, 2116464146160 is an apocalyptic number.

116464146160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116464146160 is an abundant number, since it is smaller than the sum of its proper divisors (168937720880).

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

116464146160 is a wasteful number, since it uses less digits than its factorization.

116464146160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947266 (or 947260 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 116464146160 in words is "one hundred sixteen billion, four hundred sixty-four million, one hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 53 58 80 106 116 145 212 232 265 290 424 464 530 580 848 1060 1160 1537 2120 2320 3074 4240 6148 7685 12296 15370 24592 30740 61480 122960 947171 1894342 3788684 4735855 7577368 9471710 15154736 18943420 27467959 37886840 50200063 54935918 75773680 100400126 109871836 137339795 200800252 219743672 251000315 274679590 401600504 439487344 502000630 549359180 803201008 1004001260 1098718360 1455801827 2008002520 2197436720 2911603654 4016005040 5823207308 7279009135 11646414616 14558018270 23292829232 29116036540 58232073080 116464146160