Search a number
-
+
23503306752 = 2193217293
BaseRepresentation
bin10101111000111010…
…000000000000000000
32020122222121200122200
4111320322000000000
5341113321304002
614444113233200
71461301545132
oct257072000000
966588550580
1023503306752
119a71005262
12467b262800
1322a7431403
1411cd6a5052
159285ccb1c
hex578e80000

23503306752 has 240 divisors, whose sum is σ = 72137765700. Its totient is φ = 7348420608.

The previous prime is 23503306733. The next prime is 23503306777. The reversal of 23503306752 is 25760330532.

It can be written as a sum of positive squares in 2 ways, for example, as 19537330176 + 3965976576 = 139776^2 + 62976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80215918 + ... + 80216210.

Almost surely, 223503306752 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 23503306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36068882850).

23503306752 is an abundant number, since it is smaller than the sum of its proper divisors (48634458948).

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

23503306752 is an frugal number, since it uses more digits than its factorization.

23503306752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The spelling of 23503306752 in words is "twenty-three billion, five hundred three million, three hundred six thousand, seven hundred fifty-two".