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105276965064 = 233293101314779
BaseRepresentation
bin110001000001011111…
…1110000000011001000
3101001201221011221110020
41202002333300003020
53211101400340224
6120210310420440
710414601303205
oct1420277600310
9331657157406
10105276965064
1140714114057
12184a1061720
139c09b6248b
145149c1acac
152b1264ec79
hex1882ff00c8

105276965064 has 64 divisors (see below), whose sum is σ = 264369268800. Its totient is φ = 34935664896.

The previous prime is 105276965051. The next prime is 105276965083. The reversal of 105276965064 is 460569672501.

It is a super-2 number, since 2×1052769650642 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105276964998 and 105276965016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7116027 + ... + 7130805.

It is an arithmetic number, because the mean of its divisors is an integer number (4130769825).

Almost surely, 2105276965064 is an apocalyptic number.

It is an amenable number.

105276965064 is an abundant number, since it is smaller than the sum of its proper divisors (159092303736).

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

105276965064 is a wasteful number, since it uses less digits than its factorization.

105276965064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16094 (or 16090 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 105276965064 in words is "one hundred five billion, two hundred seventy-six million, nine hundred sixty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 293 586 879 1013 1172 1758 2026 2344 3039 3516 4052 6078 7032 8104 12156 14779 24312 29558 44337 59116 88674 118232 177348 296809 354696 593618 890427 1187236 1780854 2374472 3561708 4330247 7123416 8660494 12990741 14971127 17320988 25981482 29942254 34641976 44913381 51962964 59884508 89826762 103925928 119769016 179653524 359307048 4386540211 8773080422 13159620633 17546160844 26319241266 35092321688 52638482532 105276965064