Search a number
-
+
109900463292 = 223229263400261
BaseRepresentation
bin110011001011010010…
…0111111110010111100
3101111200011002222200100
41212112210333302330
53300034004311132
6122253152201100
710640302344654
oct1462644776274
9344604088610
10109900463292
1142676a45774
1219371539190
13a4959b9249
145467cb3364
152cd34d537c
hex199693fcbc

109900463292 has 72 divisors (see below), whose sum is σ = 288476828640. Its totient is φ = 35235688320.

The previous prime is 109900463287. The next prime is 109900463353. The reversal of 109900463292 is 292364009901.

It is a happy number.

109900463292 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 0 + 0 + 4 + 632 + 9 + 2 = 666.

It is a super-2 number, since 2×1099004632922 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74442 + ... + 474702.

It is an arithmetic number, because the mean of its divisors is an integer number (4006622620).

Almost surely, 2109900463292 is an apocalyptic number.

109900463292 is a gapful number since it is divisible by the number (12) 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 109900463292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144238414320).

109900463292 is an abundant number, since it is smaller than the sum of its proper divisors (178576365348).

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

109900463292 is a wasteful number, since it uses less digits than its factorization.

109900463292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400563 (or 400558 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 109900463292 in words is "one hundred nine billion, nine hundred million, four hundred sixty-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 263 348 522 526 789 1044 1052 1578 2367 3156 4734 7627 9468 15254 22881 30508 45762 68643 91524 137286 274572 400261 800522 1200783 1601044 2401566 3602349 4803132 7204698 11607569 14409396 23215138 34822707 46430276 69645414 104468121 105268643 139290828 208936242 210537286 315805929 417872484 421074572 631611858 947417787 1263223716 1894835574 3052790647 3789671148 6105581294 9158371941 12211162588 18316743882 27475115823 36633487764 54950231646 109900463292