Search a number
-
+
23039852928 = 273238929311
BaseRepresentation
bin10101011101010010…
…000100000110000000
32012110200112210112020
4111131102010012000
5334141200243203
614330120001440
71443643342611
oct253522040600
965420483466
1023039852928
11985343a574
124570000280
132232403a91
141187d03c08
158eca83153
hex55d484180

23039852928 has 128 divisors (see below), whose sum is σ = 64580198400. Its totient is φ = 7263252480.

The previous prime is 23039852921. The next prime is 23039852947. The reversal of 23039852928 is 82925893032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23039852921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771393 + ... + 800703.

It is an arithmetic number, because the mean of its divisors is an integer number (504532800).

Almost surely, 223039852928 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 23039852928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32290099200).

23039852928 is an abundant number, since it is smaller than the sum of its proper divisors (41540345472).

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

23039852928 is a wasteful number, since it uses less digits than its factorization.

23039852928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29440 (or 29428 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 23039852928 in words is "twenty-three billion, thirty-nine million, eight hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 89 92 96 128 138 178 184 192 267 276 356 368 384 534 552 712 736 1068 1104 1424 1472 2047 2136 2208 2848 2944 4094 4272 4416 5696 6141 8188 8544 8832 11392 12282 16376 17088 24564 29311 32752 34176 49128 58622 65504 87933 98256 117244 131008 175866 196512 234488 262016 351732 393024 468976 674153 703464 786048 937952 1348306 1406928 1875904 2022459 2608679 2696612 2813856 3751808 4044918 5217358 5393224 5627712 7826037 8089836 10434716 10786448 11255424 15652074 16179672 20869432 21572896 31304148 32359344 41738864 43145792 59999617 62608296 64718688 83477728 86291584 119999234 125216592 129437376 166955456 179998851 239998468 250433184 258874752 333910912 359997702 479996936 500866368 719995404 959993872 1001732736 1439990808 1919987744 2879981616 3839975488 5759963232 7679950976 11519926464 23039852928