Search a number
-
+
23078048832 = 2632197203381
BaseRepresentation
bin10101011111100011…
…110001010001000000
32012120100102100110100
4111133203301101000
5334230440030312
614334002402400
71444616115126
oct253743612100
965510370410
1023078048832
119872a58733
124580960400
13223a2b83c7
14118d007916
159010ca5dc
hex55f8f1440

23078048832 has 84 divisors (see below), whose sum is σ = 66485169036. Its totient is φ = 7653596160.

The previous prime is 23078048827. The next prime is 23078048839. The reversal of 23078048832 is 23884087032.

It can be written as a sum of positive squares in 2 ways, for example, as 17652842496 + 5425206336 = 132864^2 + 73656^2 .

It is not an unprimeable number, because it can be changed into a prime (23078048839) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11782 + ... + 215162.

Almost surely, 223078048832 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 23078048832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33242584518).

23078048832 is an abundant number, since it is smaller than the sum of its proper divisors (43407120204).

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

23078048832 is a wasteful number, since it uses less digits than its factorization.

23078048832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203596 (or 203583 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 23078048832 in words is "twenty-three billion, seventy-eight million, forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 197 288 394 576 591 788 1182 1576 1773 2364 3152 3546 4728 6304 7092 9456 12608 14184 18912 28368 37824 56736 113472 203381 406762 610143 813524 1220286 1627048 1830429 2440572 3254096 3660858 4881144 6508192 7321716 9762288 13016384 14643432 19524576 29286864 39049152 40066057 58573728 80132114 117147456 120198171 160264228 240396342 320528456 360594513 480792684 641056912 721189026 961585368 1282113824 1442378052 1923170736 2564227648 2884756104 3846341472 5769512208 7692682944 11539024416 23078048832