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23530564352 = 281511913187
BaseRepresentation
bin10101111010100001…
…111110101100000000
32020201212220112001102
4111322201332230000
5341142311024402
614450525353532
71462052332301
oct257241765400
966655815042
1023530564352
119a854322a9
1246884088a8
1322acc86079
1411d315c7a8
1592abb4102
hex57a87eb00

23530564352 has 72 divisors (see below), whose sum is σ = 47542720512. Its totient is φ = 11622528000.

The previous prime is 23530564339. The next prime is 23530564367. The reversal of 23530564352 is 25346503532.

It is a super-2 number, since 2×235305643522 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7381703 + ... + 7384889.

Almost surely, 223530564352 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 23530564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23771360256).

23530564352 is an abundant number, since it is smaller than the sum of its proper divisors (24012156160).

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

23530564352 is a wasteful number, since it uses less digits than its factorization.

23530564352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 38.

The spelling of 23530564352 in words is "twenty-three billion, five hundred thirty million, five hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 151 191 256 302 382 604 764 1208 1528 2416 3056 3187 4832 6112 6374 9664 12224 12748 19328 24448 25496 28841 38656 48896 50992 57682 101984 115364 203968 230728 407936 461456 481237 608717 815872 922912 962474 1217434 1845824 1924948 2434868 3691648 3849896 4869736 7383296 7699792 9739472 15399584 19478944 30799168 38957888 61598336 77915776 91916267 123196672 155831552 183832534 367665068 735330136 1470660272 2941320544 5882641088 11765282176 23530564352