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102703584676 = 227211220812
BaseRepresentation
bin101111110100110011…
…1000101010110100100
3100211002120220200012111
41133221213011112210
53140314104202201
6115103102130404
710264043031400
oct1375147052644
9324076820174
10102703584676
113a613550300
1217aa3280a04
1398b997c9a4
144d84148100
152a1177bb51
hex17e99c55a4

102703584676 has 81 divisors (see below), whose sum is σ = 229920366081. Its totient is φ = 39995155200.

The previous prime is 102703584671. The next prime is 102703584707. The reversal of 102703584676 is 676485307201.

The square root of 102703584676 is 320474.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38917031076 + 63786553600 = 197274^2 + 252560^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (102703584671) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49351956 + ... + 49354036.

Almost surely, 2102703584676 is an apocalyptic number.

102703584676 is the 320474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102703584676

102703584676 is an abundant number, since it is smaller than the sum of its proper divisors (127216781405).

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

102703584676 is an equidigital number, since it uses as much as digits as its factorization.

102703584676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

Multiplying 102703584676 by its sum of digits (49), we get a square (5032475649124 = 22433182).

102703584676 divided by its sum of digits (49) gives a square (2095991524 = 457822).

The spelling of 102703584676 in words is "one hundred two billion, seven hundred three million, five hundred eighty-four thousand, six hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2081 2156 3388 4162 5929 8324 11858 14567 22891 23716 29134 45782 58268 91564 101969 160237 203938 251801 320474 407876 503602 640948 1007204 1121659 1762607 2243318 3525214 4330561 4486636 7050428 8661122 12338249 17322244 24676498 30313927 47636171 49352996 60627854 95272342 121255708 190544684 212197489 333453197 424394978 523997881 666906394 848789956 1047995762 1333812788 2095991524 2334172379 3667985167 4668344758 7335970334 9336689516 14671940668 25675896169 51351792338 102703584676