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28763102742 = 23111493478429
BaseRepresentation
bin11010110010011010…
…100001111000010110
32202020112212000022120
4122302122201320112
5432401323241432
621114045040410
72035530224253
oct326232417026
982215760276
1028763102742
11112200268a0
1256a8856106
13293505242a
14156c07242a
15b35250c2c
hex6b26a1e16

28763102742 has 64 divisors (see below), whose sum is σ = 63366624000. Its totient is φ = 8631620480.

The previous prime is 28763102729. The next prime is 28763102749. The reversal of 28763102742 is 24720136782.

It is a happy number.

It is a super-4 number, since 4×287631027424 (a number of 43 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28763102694 and 28763102703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28763102749) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3408184 + ... + 3416612.

It is an arithmetic number, because the mean of its divisors is an integer number (990103500).

Almost surely, 228763102742 is an apocalyptic number.

28763102742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

28763102742 is an abundant number, since it is smaller than the sum of its proper divisors (34603521258).

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

28763102742 is a wasteful number, since it uses less digits than its factorization.

28763102742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8941.

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 28763102742 in words is "twenty-eight billion, seven hundred sixty-three million, one hundred two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 149 298 347 447 694 894 1041 1639 2082 3278 3817 4917 7634 8429 9834 11451 16858 22902 25287 50574 51703 92719 103406 155109 185438 278157 310218 556314 568733 1137466 1255921 1706199 2511842 2924863 3412398 3767763 5849726 7535526 8774589 13815131 17549178 27630262 32173493 41445393 64346986 82890786 96520479 193040958 435804587 871609174 1307413761 2614827522 4793850457 9587700914 14381551371 28763102742