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23001344432 = 24112912773529
BaseRepresentation
bin10101011010111111…
…001010100110110000
32012101000002100210122
4111122333022212300
5334101321010212
614322222345412
71442665126133
oct253277124660
965330070718
1023001344432
119833728570
12455b12b268
1322274400a1
141182b5c21a
158e94c8272
hex55afca9b0

23001344432 has 80 divisors (see below), whose sum is σ = 50346554400. Its totient is φ = 10083870720.

The previous prime is 23001344423. The next prime is 23001344453. The reversal of 23001344432 is 23444310032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6516044 + ... + 6519572.

It is an arithmetic number, because the mean of its divisors is an integer number (629331930).

Almost surely, 223001344432 is an apocalyptic number.

23001344432 is a gapful number since it is divisible by the number (22) 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 23001344432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25173277200).

23001344432 is an abundant number, since it is smaller than the sum of its proper divisors (27345209968).

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

23001344432 is a wasteful number, since it uses less digits than its factorization.

23001344432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 23001344432 its reverse (23444310032), we get a palindrome (46445654464).

The spelling of 23001344432 in words is "twenty-three billion, one million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 1277 2552 2554 3529 5104 5108 7058 10216 14047 14116 20432 28094 28232 37033 38819 56188 56464 74066 77638 102341 112376 148132 155276 204682 224752 296264 310552 407363 409364 592528 621104 814726 818728 1125751 1629452 1637456 2251502 3258904 4503004 4506533 6517808 9006008 9013066 18012016 18026132 36052264 49571863 72104528 99143726 130689457 198287452 261378914 396574904 522757828 793149808 1045515656 1437584027 2091031312 2875168054 5750336108 11500672216 23001344432