Search a number
-
+
12196869408 = 253379178693
BaseRepresentation
bin10110101101111110…
…10111010100100000
31011111000120011102000
423112333113110200
5144434344310113
65334141124000
7611151452013
oct132677272440
934430504360
1012196869408
1151998a6569
122444859600
1311c4b93bb9
14839c2737a
154b5bac373
hex2d6fd7520

12196869408 has 96 divisors (see below), whose sum is σ = 36024710400. Its totient is φ = 4014137088.

The previous prime is 12196869359. The next prime is 12196869413. The reversal of 12196869408 is 80496869121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 21091 + ... + 157602.

It is an arithmetic number, because the mean of its divisors is an integer number (375257400).

Almost surely, 212196869408 is an apocalyptic number.

12196869408 is a gapful number since it is divisible by the number (18) 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 12196869408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012355200).

12196869408 is an abundant number, since it is smaller than the sum of its proper divisors (23827840992).

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

12196869408 is a wasteful number, since it uses less digits than its factorization.

12196869408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178791 (or 178777 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 12196869408 in words is "twelve billion, one hundred ninety-six million, eight hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 216 237 288 316 432 474 632 711 864 948 1264 1422 1896 2133 2528 2844 3792 4266 5688 7584 8532 11376 17064 22752 34128 68256 178693 357386 536079 714772 1072158 1429544 1608237 2144316 2859088 3216474 4288632 4824711 5718176 6432948 8577264 9649422 12865896 14116747 17154528 19298844 25731792 28233494 38597688 42350241 51463584 56466988 77195376 84700482 112933976 127050723 154390752 169400964 225867952 254101446 338801928 381152169 451735904 508202892 677603856 762304338 1016405784 1355207712 1524608676 2032811568 3049217352 4065623136 6098434704 12196869408