Search a number
-
+
23713945290 = 2335753236737
BaseRepresentation
bin10110000101011101…
…100001011011001010
32021012122222020102000
4112011131201123022
5342031232222130
614521040051430
71466440131510
oct260535413312
967178866360
1023713945290
11a0699a40a2
124719903b76
13230bc71ab9
14120d6564b0
1593bd39260
hex5857616ca

23713945290 has 128 divisors (see below), whose sum is σ = 73634987520. Its totient is φ = 5318037504.

The previous prime is 23713945249. The next prime is 23713945291. The reversal of 23713945290 is 9254931732.

23713945290 is a `hidden beast` number, since 2 + 37 + 1 + 3 + 94 + 529 + 0 = 666.

It is a super-2 number, since 2×237139452902 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23713945291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18199 + ... + 218538.

It is an arithmetic number, because the mean of its divisors is an integer number (575273340).

Almost surely, 223713945290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23713945290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36817493760).

23713945290 is an abundant number, since it is smaller than the sum of its proper divisors (49921042230).

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

23713945290 is a wasteful number, since it uses less digits than its factorization.

23713945290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236813 (or 236807 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 23713945290 in words is "twenty-three billion, seven hundred thirteen million, nine hundred forty-five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 53 54 63 70 90 105 106 126 135 159 189 210 265 270 315 318 371 378 477 530 630 742 795 945 954 1113 1431 1590 1855 1890 2226 2385 2862 3339 3710 4770 5565 6678 7155 10017 11130 14310 16695 20034 33390 50085 100170 236737 473474 710211 1183685 1420422 1657159 2130633 2367370 3314318 3551055 4261266 4971477 6391899 7102110 8285795 9942954 10653165 12547061 12783798 14914431 16571590 21306330 24857385 25094122 29828862 31959495 37641183 44743293 49714770 62735305 63918990 74572155 75282366 87829427 89486586 112923549 125470610 149144310 175658854 188205915 223716465 225847098 263488281 338770647 376411830 439147135 447432930 526976562 564617745 677541294 790464843 878294270 1129235490 1317441405 1580929686 1693853235 2371394529 2634882810 3387706470 3952324215 4742789058 7904648430 11856972645 23713945290