Search a number
-
+
112997158650 = 2345283336151
BaseRepresentation
bin110100100111100100…
…1111100111011111010
3101210122222002102010000
41221033021330323322
53322404233034100
6123524333133430
711110114000215
oct1511711747372
9353588072100
10112997158650
1143a15a4a832
1219a9662a276
13a86a42806c
14567d28a77c
152e152c9900
hex1a4f27cefa

112997158650 has 120 divisors (see below), whose sum is σ = 317748350304. Its totient is φ = 29769444000.

The previous prime is 112997158621. The next prime is 112997158669. The reversal of 112997158650 is 56851799211.

It is a happy number.

112997158650 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 9 + 7 + 1 + 586 + 50 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 168075 + ... + 504225.

Almost surely, 2112997158650 is an apocalyptic number.

112997158650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 336150×336151.

It is a practical number, because each smaller number is the sum of distinct divisors of 112997158650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158874175152).

112997158650 is an abundant number, since it is smaller than the sum of its proper divisors (204751191654).

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

112997158650 is a wasteful number, since it uses less digits than its factorization.

112997158650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336258 (or 336244 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 112997158650 in words is "one hundred twelve billion, nine hundred ninety-seven million, one hundred fifty-eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 83 90 135 150 162 166 225 249 270 405 415 450 498 675 747 810 830 1245 1350 1494 2025 2075 2241 2490 3735 4050 4150 4482 6225 6723 7470 11205 12450 13446 18675 22410 33615 37350 56025 67230 112050 168075 336150 336151 672302 1008453 1680755 2016906 3025359 3361510 5042265 6050718 8403775 9076077 10084530 15126795 16807550 18152154 25211325 27228231 27900533 30253590 45380385 50422650 54456462 55801066 75633975 83701599 90760770 136141155 139502665 151267950 167403198 226901925 251104797 272282310 279005330 418507995 453803850 502209594 680705775 697513325 753314391 837015990 1255523985 1361411550 1395026650 1506628782 2092539975 2259943173 2511047970 3766571955 4185079950 4519886346 6277619925 7533143910 11299715865 12555239850 18832859775 22599431730 37665719550 56498579325 112997158650