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104229185670 = 2355130132969
BaseRepresentation
bin110000100010010001…
…0110010100010000110
3100222000220121020100000
41201010202302202012
53201430132420140
6115514321102130
710346616313611
oct1410442624206
9328026536300
10104229185670
1140226726975
121824a187946
139aa0a6687c
14508a9d3178
152aa0681a30
hex18448b2886

104229185670 has 96 divisors (see below), whose sum is σ = 281257310880. Its totient is φ = 27772243200.

The previous prime is 104229185659. The next prime is 104229185759. The reversal of 104229185670 is 76581922401.

104229185670 is a `hidden beast` number, since 1 + 0 + 422 + 91 + 85 + 67 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3144946 + ... + 3177914.

It is an arithmetic number, because the mean of its divisors is an integer number (2929763655).

Almost surely, 2104229185670 is an apocalyptic number.

104229185670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104229185670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140628655440).

104229185670 is an abundant number, since it is smaller than the sum of its proper divisors (177028125210).

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

104229185670 is a wasteful number, since it uses less digits than its factorization.

104229185670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34292 (or 34280 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 104229185670 in words is "one hundred four billion, two hundred twenty-nine million, one hundred eighty-five thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 1301 2430 2602 3903 6505 7806 11709 13010 19515 23418 32969 35127 39030 58545 65938 70254 98907 105381 117090 164845 175635 197814 210762 296721 316143 329690 351270 494535 526905 593442 632286 890163 989070 1053810 1483605 1580715 1780326 2670489 2967210 3161430 4450815 5340978 8011467 8901630 13352445 16022934 26704890 40057335 42892669 80114670 85785338 128678007 214463345 257356014 386034021 428926690 643390035 772068042 1158102063 1286780070 1930170105 2316204126 3474306189 3860340210 5790510315 6948612378 10422918567 11581020630 17371530945 20845837134 34743061890 52114592835 104229185670