Search a number
-
+
23665800480 = 2535721636173
BaseRepresentation
bin10110000010100101…
…110111010100100000
32021002022101020010220
4112002211313110200
5341431421103410
614512200123040
71465313661600
oct260245672440
967068336126
1023665800480
11a0448001a3
124705766480
132301cb5c4a
1412070c2c00
159379c9070
hex582977520

23665800480 has 288 divisors, whose sum is σ = 87264402624. Its totient is φ = 5375268864.

The previous prime is 23665800449. The next prime is 23665800497. The reversal of 23665800480 is 8400856632.

It is a super-2 number, since 2×236658004802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3830674 + ... + 3836846.

It is an arithmetic number, because the mean of its divisors is an integer number (303001398).

Almost surely, 223665800480 is an apocalyptic number.

23665800480 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 23665800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43632201312).

23665800480 is an abundant number, since it is smaller than the sum of its proper divisors (63598602144).

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

23665800480 is a wasteful number, since it uses less digits than its factorization.

23665800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 23665800480 in words is "twenty-three billion, six hundred sixty-five million, eight hundred thousand, four hundred eighty".