Search a number
-
+
114552525060 = 22325679539967
BaseRepresentation
bin110101010101111011…
…1001101000100000100
3101221200100210012201100
41222223313031010010
53334100421300220
6124342534100100
711163501253161
oct1525367150404
9357610705640
10114552525060
1144643a06616
121a24b4aa630
13aa5773420c
145789a83068
152ea6b0dd90
hex1aabdcd104

114552525060 has 144 divisors (see below), whose sum is σ = 353067676416. Its totient is φ = 30056818176.

The previous prime is 114552525053. The next prime is 114552525083. The reversal of 114552525060 is 60525255411.

114552525060 is a `hidden beast` number, since 1 + 1 + 4 + 552 + 52 + 50 + 6 + 0 = 666.

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

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, 11488197 + ... + 11498163.

It is an arithmetic number, because the mean of its divisors is an integer number (2451858864).

Almost surely, 2114552525060 is an apocalyptic number.

114552525060 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 114552525060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176533838208).

114552525060 is an abundant number, since it is smaller than the sum of its proper divisors (238515151356).

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

114552525060 is a wasteful number, since it uses less digits than its factorization.

114552525060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11002 (or 10997 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 114552525060 in words is "one hundred fourteen billion, five hundred fifty-two million, five hundred twenty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 953 1005 1206 1340 1906 2010 2412 2859 3015 3812 4020 4765 5718 6030 8577 9530 9967 11436 12060 14295 17154 19060 19934 28590 29901 34308 39868 42885 49835 57180 59802 63851 85770 89703 99670 119604 127702 149505 171540 179406 191553 199340 255404 299010 319255 358812 383106 448515 574659 598020 638510 667789 766212 897030 957765 1149318 1277020 1335578 1794060 1915530 2003367 2298636 2671156 2873295 3338945 3831060 4006734 5746590 6010101 6677890 8013468 9498551 10016835 11493180 12020202 13355780 18997102 20033670 24040404 28495653 30050505 37994204 40067340 47492755 56991306 60101010 85486959 94985510 113982612 120202020 142478265 170973918 189971020 284956530 341947836 427434795 569913060 636402917 854869590 1272805834 1709739180 1909208751 2545611668 3182014585 3818417502 5727626253 6364029170 7636835004 9546043755 11455252506 12728058340 19092087510 22910505012 28638131265 38184175020 57276262530 114552525060