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10514226708 = 2234175336017
BaseRepresentation
bin10011100101011001…
…00101111000010100
31000010202101001120000
421302230211320110
5133013120223313
64455152211300
7521360311116
oct116254457024
930122331500
1010514226708
114506009167
122055239b30
13cb73b3c2b
1471a57d3b6
154180d6673
hex272b25e14

10514226708 has 120 divisors (see below), whose sum is σ = 29653043112. Its totient is φ = 3236253696.

The previous prime is 10514226703. The next prime is 10514226727. The reversal of 10514226708 is 80762241501.

It can be written as a sum of positive squares in 4 ways, for example, as 3993987204 + 6520239504 = 63198^2 + 80748^2 .

It is a super-2 number, since 2×105142267082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10514226703) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273916 + ... + 309932.

Almost surely, 210514226708 is an apocalyptic number.

10514226708 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10514226708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826521556).

10514226708 is an abundant number, since it is smaller than the sum of its proper divisors (19138816404).

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

10514226708 is a wasteful number, since it uses less digits than its factorization.

10514226708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36103 (or 36092 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10514226708 in words is "ten billion, five hundred fourteen million, two hundred twenty-six thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 53 54 68 81 102 106 108 153 159 162 204 212 306 318 324 459 477 612 636 901 918 954 1377 1431 1802 1836 1908 2703 2754 2862 3604 4293 5406 5508 5724 8109 8586 10812 16218 17172 24327 32436 36017 48654 72034 72981 97308 108051 144068 145962 216102 291924 324153 432204 612289 648306 972459 1224578 1296612 1836867 1908901 1944918 2449156 2917377 3673734 3817802 3889836 5510601 5726703 5834754 7347468 7635604 11021202 11453406 11669508 16531803 17180109 22042404 22906812 32451317 33063606 34360218 49595409 51540327 64902634 66127212 68720436 97353951 99190818 103080654 129805268 154620981 194707902 198381636 206161308 292061853 309241962 389415804 584123706 618483924 876185559 1168247412 1752371118 2628556677 3504742236 5257113354 10514226708