Search a number
-
+
23806778310 = 23357291034217
BaseRepresentation
bin10110001010111111…
…101001101111000110
32021110010122122101000
4112022333221233012
5342224013401220
614534153514130
71501645163640
oct261277515706
967403578330
1023806778310
11a10733a9a7
124744a12946
132325276393
14121badd890
15945075390
hex58afe9bc6

23806778310 has 256 divisors, whose sum is σ = 75802521600. Its totient is φ = 5201667072.

The previous prime is 23806778309. The next prime is 23806778329. The reversal of 23806778310 is 1387760832.

It is a super-2 number, since 2×238067783102 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5643322 + ... + 5647538.

It is an arithmetic number, because the mean of its divisors is an integer number (296103600).

Almost surely, 223806778310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23806778310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37901260800).

23806778310 is an abundant number, since it is smaller than the sum of its proper divisors (51995743290).

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

23806778310 is a wasteful number, since it uses less digits than its factorization.

23806778310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 23806778310 in words is "twenty-three billion, eight hundred six million, seven hundred seventy-eight thousand, three hundred ten".