Search a number
-
+
23490754560 = 2113257132801
BaseRepresentation
bin10101111000001010…
…000111100000000000
32020122002222222021200
4111320022013200000
5341102113121220
614442544221200
71461060055620
oct257012074000
966562888250
1023490754560
119a64a11649
12467700a800
1322a4957c90
1411cbb58880
1592744d890
hex578287800

23490754560 has 576 divisors, whose sum is σ = 100238523840. Its totient is φ = 4954521600.

The previous prime is 23490754549. The next prime is 23490754577. The reversal of 23490754560 is 6545709432.

23490754560 is a `hidden beast` number, since 2 + 3 + 49 + 0 + 7 + 545 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 8385160 + ... + 8387960.

It is an arithmetic number, because the mean of its divisors is an integer number (174025215).

Almost surely, 223490754560 is an apocalyptic number.

23490754560 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 23490754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50119261920).

23490754560 is an abundant number, since it is smaller than the sum of its proper divisors (76747769280).

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

23490754560 is a wasteful number, since it uses less digits than its factorization.

23490754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 23490754560 in words is "twenty-three billion, four hundred ninety million, seven hundred fifty-four thousand, five hundred sixty".