Search a number
-
+
23806693488 = 2435310985853
BaseRepresentation
bin10110001010111111…
…010101000001110000
32021110010111100000110
4112022333111001300
5342224003142423
614534152021320
71501644361434
oct261277250160
967403440013
1023806693488
11a1072921a6
124744991840
1323252468a6
14121baba9c4
1594505a193
hex58afd5070

23806693488 has 80 divisors (see below), whose sum is σ = 63236622240. Its totient is φ = 7714317312.

The previous prime is 23806693487. The next prime is 23806693577. The reversal of 23806693488 is 88439660832.

It is a happy number.

It is a super-2 number, since 2×238066934882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23806693481) 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 15 ways as a sum of consecutive naturals, for example, 234370 + ... + 320222.

It is an arithmetic number, because the mean of its divisors is an integer number (790457778).

Almost surely, 223806693488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23806693488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31618311120).

23806693488 is an abundant number, since it is smaller than the sum of its proper divisors (39429928752).

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

23806693488 is a wasteful number, since it uses less digits than its factorization.

23806693488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86026 (or 86020 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 23806693488 in words is "twenty-three billion, eight hundred six million, six hundred ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 109 159 212 218 318 327 424 436 636 654 848 872 1272 1308 1744 2544 2616 5232 5777 11554 17331 23108 34662 46216 69324 85853 92432 138648 171706 257559 277296 343412 515118 686824 1030236 1373648 2060472 4120944 4550209 9100418 9357977 13650627 18200836 18715954 27301254 28073931 36401672 37431908 54602508 56147862 72803344 74863816 109205016 112295724 149727632 218410032 224591448 449182896 495972781 991945562 1487918343 1983891124 2975836686 3967782248 5951673372 7935564496 11903346744 23806693488