Search a number
-
+
23532361146 = 23271710986163
BaseRepresentation
bin10101111010101000…
…110101010110111010
32020202000021210210100
4111322220311112322
5341143241024041
614451032100230
71462103524620
oct257250652672
966660253710
1023532361146
119a8644a258
124688b34676
1322b0464b68
1411d34a9510
1592ae1b6b6
hex57aa355ba

23532361146 has 48 divisors (see below), whose sum is σ = 61698297024. Its totient is φ = 6328029312.

The previous prime is 23532361133. The next prime is 23532361183. The reversal of 23532361146 is 64116323532.

23532361146 is a `hidden beast` number, since 2 + 3 + 5 + 32 + 3 + 611 + 4 + 6 = 666.

It is a super-2 number, since 2×235323611462 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23532361146.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5490940 + ... + 5495223.

It is an arithmetic number, because the mean of its divisors is an integer number (1285381188).

Almost surely, 223532361146 is an apocalyptic number.

23532361146 is an abundant number, since it is smaller than the sum of its proper divisors (38165935878).

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

23532361146 is a wasteful number, since it uses less digits than its factorization.

23532361146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10986195 (or 10986192 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 23532361146 its reverse (64116323532), we get a palindrome (87648684678).

The spelling of 23532361146 in words is "twenty-three billion, five hundred thirty-two million, three hundred sixty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 10986163 21972326 32958489 65916978 76903141 98875467 153806282 186764771 197750934 230709423 373529542 461418846 560294313 692128269 1120588626 1307353397 1384256538 1680882939 2614706794 3361765878 3922060191 7844120382 11766180573 23532361146