Search a number
-
+
63451402146 = 232115944912097
BaseRepresentation
bin111011000101111111…
…111000111110100010
320001210001000012102100
4323011333320332202
52014422024332041
645052115431230
74404246006426
oct730577707642
9201701005370
1063451402146
1124a00731630
12103698b5516
135ca280c692
1430dd000b86
1519b57606b6
hexec5ff8fa2

63451402146 has 96 divisors (see below), whose sum is σ = 152870328000. Its totient is φ = 18858147840.

The previous prime is 63451402127. The next prime is 63451402163. The reversal of 63451402146 is 64120415436.

63451402146 is a `hidden beast` number, since 63 + 4 + 51 + 402 + 146 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 63451402146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5239170 + ... + 5251266.

It is an arithmetic number, because the mean of its divisors is an integer number (1592399250).

Almost surely, 263451402146 is an apocalyptic number.

63451402146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 63451402146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76435164000).

63451402146 is an abundant number, since it is smaller than the sum of its proper divisors (89418925854).

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

63451402146 is a wasteful number, since it uses less digits than its factorization.

63451402146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12624 (or 12621 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 63451402146 in words is "sixty-three billion, four hundred fifty-one million, four hundred two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 449 531 649 898 1062 1298 1347 1947 2694 3894 4041 4939 5841 8082 9878 11682 12097 14817 24194 26491 29634 36291 44451 52982 72582 79473 88902 108873 133067 158946 217746 238419 266134 291401 399201 476838 582802 713723 798402 874203 1197603 1427446 1748406 2141169 2395206 2622609 4282338 5245218 5431553 6423507 7850953 10863106 12847014 15701906 16294659 23552859 32589318 47105718 48883977 59747083 70658577 97767954 119494166 141317154 179241249 320461627 358482498 537723747 640923254 961384881 1075447494 1922769762 2884154643 3525077897 5768309286 7050155794 10575233691 21150467382 31725701073 63451402146