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23655149568 = 212321933773
BaseRepresentation
bin10110000001111101…
…001111000000000000
32021001120100002211200
4112001331033000000
5341421204241233
614511135541200
71465124311431
oct260175170000
967046302750
1023655149568
11a039795a96
12470208a800
1322cca2702b
14120590d488
15936ac3313
hex581f4f000

23655149568 has 156 divisors (see below), whose sum is σ = 71927136840. Its totient is φ = 7469826048.

The previous prime is 23655149543. The next prime is 23655149569. The reversal of 23655149568 is 86594155632.

23655149568 is a `hidden beast` number, since 2 + 3 + 65 + 5 + 14 + 9 + 568 = 666.

It is a super-2 number, since 2×236551495682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23655149569) 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 11 ways as a sum of consecutive naturals, for example, 683530 + ... + 717302.

It is an arithmetic number, because the mean of its divisors is an integer number (461071390).

Almost surely, 223655149568 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 23655149568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35963568420).

23655149568 is an abundant number, since it is smaller than the sum of its proper divisors (48271987272).

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

23655149568 is a wasteful number, since it uses less digits than its factorization.

23655149568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33822 (or 33797 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 23655149568 in words is "twenty-three billion, six hundred fifty-five million, one hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2048 2304 2432 2736 3072 3648 4096 4608 4864 5472 6144 7296 9216 9728 10944 12288 14592 18432 19456 21888 29184 33773 36864 38912 43776 58368 67546 77824 87552 101319 116736 135092 175104 202638 233472 270184 303957 350208 405276 540368 607914 641687 700416 810552 1080736 1215828 1283374 1621104 1925061 2161472 2431656 2566748 3242208 3850122 4322944 4863312 5133496 5775183 6484416 7700244 8645888 9726624 10266992 11550366 12968832 15400488 17291776 19453248 20533984 23100732 25937664 30800976 34583552 38906496 41067968 46201464 51875328 61601952 69167104 77812992 82135936 92402928 103750656 123203904 138334208 155625984 164271872 184805856 207501312 246407808 311251968 328543744 369611712 415002624 492815616 622503936 657087488 739223424 985631232 1245007872 1314174976 1478446848 1971262464 2628349952 2956893696 3942524928 5913787392 7885049856 11827574784 23655149568