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4112737272 = 2332723354791
BaseRepresentation
bin1111010100100011…
…0110001111111000
3101121121211200220200
43311020312033320
531410330043042
61520034122200
7203626455450
oct36510661770
911547750820
104112737272
111820595426
12969420360
135070a4967
142b02dcd60
151910e3c4c
hexf52363f8

4112737272 has 96 divisors (see below), whose sum is σ = 13283412480. Its totient is φ = 1123974720.

The previous prime is 4112737261. The next prime is 4112737273. The reversal of 4112737272 is 2727372114.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112737273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165804 + ... + 188987.

It is an arithmetic number, because the mean of its divisors is an integer number (138368880).

Almost surely, 24112737272 is an apocalyptic number.

4112737272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4112737272 is an abundant number, since it is smaller than the sum of its proper divisors (9170675208).

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

4112737272 is a wasteful number, since it uses less digits than its factorization.

4112737272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354833 (or 354826 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 4112737272 is about 64130.6266303394. The cubic root of 4112737272 is about 1602.1763705813.

The spelling of 4112737272 in words is "four billion, one hundred twelve million, seven hundred thirty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 354791 709582 1064373 1419164 2128746 2483537 2838328 3193119 4257492 4967074 6386238 7450611 8160193 8514984 9934148 12772476 14901222 16320386 19868296 22351833 24480579 25544952 29802444 32640772 44703666 48961158 57121351 59604888 65281544 73441737 89407332 97922316 114242702 146883474 171364053 178814664 195844632 228485404 293766948 342728106 456970808 514092159 587533896 685456212 1028184318 1370912424 2056368636 4112737272