Search a number
-
+
23364882432 = 21233211271
BaseRepresentation
bin10101110000101001…
…111101000000000000
32020022100011000012000
4111300221331000000
5340322402214212
614422250304000
71455001136523
oct256051750000
966270130160
1023364882432
1199aa959aa1
124640a28000
132284856328
1411b9150bba
1591b3881dc
hex570a7d000

23364882432 has 104 divisors (see below), whose sum is σ = 69221158080. Its totient is φ = 7788257280.

The previous prime is 23364882427. The next prime is 23364882439. The reversal of 23364882432 is 23428846332.

It is a super-2 number, since 2×233648824322 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23364882439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4957 + ... + 216227.

Almost surely, 223364882432 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 23364882432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34610579040).

23364882432 is an abundant number, since it is smaller than the sum of its proper divisors (45856275648).

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

23364882432 is an equidigital number, since it uses as much as digits as its factorization.

23364882432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211304 (or 211276 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 23364882432 in words is "twenty-three billion, three hundred sixty-four million, eight hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 9216 12288 13824 18432 27648 36864 55296 110592 211271 422542 633813 845084 1267626 1690168 1901439 2535252 3380336 3802878 5070504 5704317 6760672 7605756 10141008 11408634 13521344 15211512 20282016 22817268 27042688 30423024 40564032 45634536 54085376 60846048 81128064 91269072 108170752 121692096 162256128 182538144 216341504 243384192 324512256 365076288 432683008 486768384 649024512 730152576 865366016 973536768 1298049024 1460305152 1947073536 2596098048 2920610304 3894147072 5841220608 7788294144 11682441216 23364882432