Base | Representation |
---|---|
bin | 101111001111000010… |
… | …1111100001000111000 |
3 | 100200211021212102210201 |
4 | 1132132011330020320 |
5 | 3130220232324414 |
6 | 114333242251544 |
7 | 10220456626141 |
oct | 1363605741070 |
9 | 320737772721 |
10 | 101436604984 |
11 | 3a023356750 |
12 | 177aaab6bb4 |
13 | 9747336670 |
14 | 4ca3b80ac8 |
15 | 298a410574 |
hex | 179e17c238 |
101436604984 has 64 divisors (see below), whose sum is σ = 223978608000. Its totient is φ = 42459035520.
The previous prime is 101436604949. The next prime is 101436604991. The reversal of 101436604984 is 489406634101.
101436604984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 373527 + ... + 585145.
It is an arithmetic number, because the mean of its divisors is an integer number (3499665750).
Almost surely, 2101436604984 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 101436604984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111989304000).
101436604984 is an abundant number, since it is smaller than the sum of its proper divisors (122542003016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101436604984 is a wasteful number, since it uses less digits than its factorization.
101436604984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 212068 (or 212064 counting only the distinct ones).
The product of its (nonzero) digits is 497664, while the sum is 46.
The spelling of 101436604984 in words is "one hundred one billion, four hundred thirty-six million, six hundred four thousand, nine hundred eighty-four".
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