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12146691084 = 22311435693761
BaseRepresentation
bin10110100111111111…
…11100110000001100
31011100112010211200120
423103333330300030
5144334023103314
65325145424540
7610002112353
oct132377746014
934315124616
1012146691084
115173543880
12242ba9b150
1311b7675598
148332c499a
154b15998a9
hex2d3ffcc0c

12146691084 has 96 divisors (see below), whose sum is σ = 31701922560. Its totient is φ = 3587942400.

The previous prime is 12146691071. The next prime is 12146691101. The reversal of 12146691084 is 48019664121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3227764 + ... + 3231524.

It is an arithmetic number, because the mean of its divisors is an integer number (330228360).

Almost surely, 212146691084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12146691084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850961280).

12146691084 is an abundant number, since it is smaller than the sum of its proper divisors (19555231476).

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

12146691084 is a wasteful number, since it uses less digits than its factorization.

12146691084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 12146691084 in words is "twelve billion, one hundred forty-six million, six hundred ninety-one thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 569 946 1138 1419 1707 1892 2276 2838 3414 3761 5676 6259 6828 7522 11283 12518 15044 18777 22566 24467 25036 37554 41371 45132 48934 73401 75108 82742 97868 124113 146802 161723 165484 248226 269137 293604 323446 485169 496452 538274 646892 807411 970338 1076548 1614822 1778953 1940676 2140009 3229644 3557906 4280018 5336859 6420027 7115812 8560036 10673718 12840054 21347436 23540099 25680108 47080198 70620297 92020387 94160396 141240594 184040774 276061161 282481188 368081548 552122322 1012224257 1104244644 2024448514 3036672771 4048897028 6073345542 12146691084