Search a number
-
+
104295133404 = 223271137624507
BaseRepresentation
bin110000100100001111…
…0010111000011011100
3100222012111200201121200
41201020132113003130
53202044023232104
6115525034355500
710351350002220
oct1411036270334
9328174621550
10104295133404
114025a97a430
121826828bb90
139ab1616ab7
14509567c780
152aa635bb39
hex18487970dc

104295133404 has 72 divisors (see below), whose sum is σ = 328687701888. Its totient is φ = 27089644320.

The previous prime is 104295133387. The next prime is 104295133427. The reversal of 104295133404 is 404331592401.

104295133404 is a `hidden beast` number, since 10 + 4 + 295 + 13 + 340 + 4 = 666.

104295133404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18809482 + ... + 18815025.

Almost surely, 2104295133404 is an apocalyptic number.

104295133404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104295133404 is an abundant number, since it is smaller than the sum of its proper divisors (224392568484).

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

104295133404 is a wasteful number, since it uses less digits than its factorization.

104295133404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37624535 (or 37624530 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 104295133404 in words is "one hundred four billion, two hundred ninety-five million, one hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 37624507 75249014 112873521 150498028 225747042 263371549 338620563 413869577 451494084 526743098 677241126 790114647 827739154 1053486196 1241608731 1354482252 1580229294 1655478308 2370343941 2483217462 2897087039 3160458588 3724826193 4740687882 4966434924 5794174078 7449652386 8691261117 9481375764 11588348156 14899304772 17382522234 26073783351 34765044468 52147566702 104295133404