Search a number
-
+
152660451160 = 23572323705039
BaseRepresentation
bin1000111000101101000…
…1011001111101011000
3112121001011120102202201
42032023101121331120
510000122033414120
6154044203135544
714013032265430
oct2161321317530
9477034512681
10152660451160
1159819932518
12257058145b4
131151b7c9809
147562c4b2c0
153e8745140a
hex238b459f58

152660451160 has 64 divisors (see below), whose sum is σ = 409623091200. Its totient is φ = 50065040256.

The previous prime is 152660451113. The next prime is 152660451169. The reversal of 152660451160 is 61154066251.

152660451160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152660451169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11846080 + ... + 11858959.

It is an arithmetic number, because the mean of its divisors is an integer number (6400360800).

Almost surely, 2152660451160 is an apocalyptic number.

152660451160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152660451160 is an abundant number, since it is smaller than the sum of its proper divisors (256962640040).

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

152660451160 is a wasteful number, since it uses less digits than its factorization.

152660451160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23705080 (or 23705076 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 152660451160 in words is "one hundred fifty-two billion, six hundred sixty million, four hundred fifty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 23705039 47410078 94820156 118525195 165935273 189640312 237050390 331870546 474100780 545215897 663741092 829676365 948201560 1090431794 1327482184 1659352730 2180863588 2726079485 3318705460 3816511279 4361727176 5452158970 6637410920 7633022558 10904317940 15266045116 19082556395 21808635880 30532090232 38165112790 76330225580 152660451160