Base | Representation |
---|---|
bin | 1011110100110110011010… |
… | …0100110011001111100100 |
3 | 1201001000221122021002111100 |
4 | 2331031212210303033210 |
5 | 3201013244223144400 |
6 | 43353150031240100 |
7 | 2511256140210000 |
oct | 275154644631744 |
9 | 51030848232440 |
10 | 13002586928100 |
11 | 4163403387100 |
12 | 155bba4079030 |
13 | 7341a59024c3 |
14 | 32d485823700 |
15 | 178361834100 |
hex | bd3669333e4 |
13002586928100 has 1215 divisors, whose sum is σ = 52496386617129. Its totient is φ = 2689720387200.
The previous prime is 13002586928087. The next prime is 13002586928101. The reversal of 13002586928100 is 182968520031.
The square root of 13002586928100 is 3605910.
It is a perfect power (a square), and thus also a powerful number.
13002586928100 is a `hidden beast` number, since 1 + 30 + 0 + 2 + 586 + 9 + 28 + 10 + 0 = 666.
It can be written as a sum of positive squares in only one way, i.e., 4680931294116 + 8321655633984 = 2163546^2 + 2884728^2 .
It is a super-3 number, since 3×130025869281003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (13002586928101) by changing a digit.
It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 58307564589 + ... + 58307564811.
Almost surely, 213002586928100 is an apocalyptic number.
13002586928100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
13002586928100 is the 3605910-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13002586928100
13002586928100 is an abundant number, since it is smaller than the sum of its proper divisors (39493799689029).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13002586928100 is a wasteful number, since it uses less digits than its factorization.
13002586928100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 516 (or 251 counting only the distinct ones).
The product of its (nonzero) digits is 207360, while the sum is 45.
The spelling of 13002586928100 in words is "thirteen trillion, two billion, five hundred eighty-six million, nine hundred twenty-eight thousand, one hundred".
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