Search a number
-
+
23664363000 = 2335318234327
BaseRepresentation
bin10110000010100000…
…011000010111111000
32021002012200012021220
4112002200120113320
5341431034104000
614512105232040
71465265523645
oct260240302770
967065605256
1023664363000
11a043a091a3
124705192620
132301901875
141206c2adcc
159377e31a0
hex5828185f8

23664363000 has 128 divisors (see below), whose sum is σ = 73890385920. Its totient is φ = 6305577600.

The previous prime is 23664362963. The next prime is 23664363007. The reversal of 23664363000 is 36346632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23664363007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5466837 + ... + 5471163.

It is an arithmetic number, because the mean of its divisors is an integer number (577268640).

Almost surely, 223664363000 is an apocalyptic number.

23664363000 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 23664363000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36945192960).

23664363000 is an abundant number, since it is smaller than the sum of its proper divisors (50226022920).

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

23664363000 is a wasteful number, since it uses less digits than its factorization.

23664363000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

The spelling of 23664363000 in words is "twenty-three billion, six hundred sixty-four million, three hundred sixty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1823 3000 3646 4327 5469 7292 8654 9115 10938 12981 14584 17308 18230 21635 21876 25962 27345 34616 36460 43270 43752 45575 51924 54690 64905 72920 86540 91150 103848 108175 109380 129810 136725 173080 182300 216350 218760 227875 259620 273450 324525 364600 432700 455750 519240 540875 546900 649050 683625 865400 911500 1081750 1093800 1298100 1367250 1622625 1823000 2163500 2596200 2734500 3245250 4327000 5469000 6490500 7888121 12981000 15776242 23664363 31552484 39440605 47328726 63104968 78881210 94657452 118321815 157762420 189314904 197203025 236643630 315524840 394406050 473287260 591609075 788812100 946574520 986015125 1183218150 1577624200 1972030250 2366436300 2958045375 3944060500 4732872600 5916090750 7888121000 11832181500 23664363000