Search a number
-
+
23802859080 = 233257111325081
BaseRepresentation
bin10110001010110000…
…101100111001001000
32021102212021112012100
4112022300230321020
5342222012442310
614533533513400
71501566651420
oct261260547110
967385245170
1023802859080
11a105103370
124743642860
132324503500
14121b39d480
15944a4dec0
hex58ac2ce48

23802859080 has 576 divisors, whose sum is σ = 104458273920. Its totient is φ = 4564684800.

The previous prime is 23802859079. The next prime is 23802859103. The reversal of 23802859080 is 8095820832.

23802859080 is a `hidden beast` number, since 2 + 38 + 0 + 28 + 590 + 8 + 0 = 666.

It is a super-2 number, since 2×238028590802 (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4682140 + ... + 4687220.

It is an arithmetic number, because the mean of its divisors is an integer number (181351170).

Almost surely, 223802859080 is an apocalyptic number.

23802859080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23802859080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52229136960).

23802859080 is an abundant number, since it is smaller than the sum of its proper divisors (80655414840).

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

23802859080 is a wasteful number, since it uses less digits than its factorization.

23802859080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 23802859080 in words is "twenty-three billion, eight hundred two million, eight hundred fifty-nine thousand, eighty".