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102813776048 = 2423377550953
BaseRepresentation
bin101111111000000101…
…1011011100010110000
3100211101021020222100102
41133300023123202300
53141030311313143
6115122040011532
710266551451134
oct1376013334260
9324337228312
10102813776048
113a66a772755
1217b14160ba8
139906751199
144d94a2d3c4
152a1b2960b8
hex17f02db8b0

102813776048 has 40 divisors (see below), whose sum is σ = 213480571488. Its totient is φ = 47842831872.

The previous prime is 102813776047. The next prime is 102813776053. The reversal of 102813776048 is 840677318201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102813775993 and 102813776011.

It is not an unprimeable number, because it can be changed into a prime (102813776047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3761861 + ... + 3789092.

Almost surely, 2102813776048 is an apocalyptic number.

It is an amenable number.

102813776048 is an abundant number, since it is smaller than the sum of its proper divisors (110666795440).

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

102813776048 is a wasteful number, since it uses less digits than its factorization.

102813776048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551021 (or 7551015 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 102813776048 in words is "one hundred two billion, eight hundred thirteen million, seven hundred seventy-six thousand, forty-eight".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 368 592 851 1702 3404 6808 13616 7550953 15101906 30203812 60407624 120815248 173671919 279385261 347343838 558770522 694687676 1117541044 1389375352 2235082088 2778750704 4470164176 6425861003 12851722006 25703444012 51406888024 102813776048