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12105174896 = 2423293733041
BaseRepresentation
bin10110100011000011…
…00100111101110000
31011020122000121011222
423101201210331300
5144242411044041
65321103524212
7605656201043
oct132141447560
934218017158
1012105174896
115152068081
122419bb9668
1311abb9a8a9
1482b998c5a
154acae874b
hex2d1864f70

12105174896 has 80 divisors (see below), whose sum is σ = 25393642560. Its totient is φ = 5572976640.

The previous prime is 12105174883. The next prime is 12105174899. The reversal of 12105174896 is 69847150121.

It is a super-2 number, since 2×121051748962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105174899) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3979136 + ... + 3982176.

It is an arithmetic number, because the mean of its divisors is an integer number (317420532).

Almost surely, 212105174896 is an apocalyptic number.

12105174896 is a gapful number since it is divisible by the number (16) 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 12105174896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12696821280).

12105174896 is an abundant number, since it is smaller than the sum of its proper divisors (13288467664).

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

12105174896 is a wasteful number, since it uses less digits than its factorization.

12105174896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 12105174896 in words is "twelve billion, one hundred five million, one hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 373 464 667 746 1334 1492 2668 2984 3041 5336 5968 6082 8579 10672 10817 12164 17158 21634 24328 34316 43268 48656 68632 69943 86536 88189 137264 139886 173072 176378 248791 279772 352756 497582 559544 705512 995164 1119088 1134293 1411024 1990328 2028347 2268586 3980656 4056694 4537172 8113388 9074344 16226776 18148688 26088739 32453552 32894497 52177478 65788994 104354956 131577988 208709912 263155976 417419824 526311952 756573431 1513146862 3026293724 6052587448 12105174896