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4161151332 = 22331315791877
BaseRepresentation
bin1111100000000110…
…0010000101100100
3101201222221101112000
43320001202011210
532010223320312
61524523525300
7205055126352
oct37001420544
911658841460
104161151332
111845952648
12981689830
13514126230
142b69027d2
151954a8adc
hexf8062164

4161151332 has 96 divisors (see below), whose sum is σ = 11631580800. Its totient is φ = 1278861696.

The previous prime is 4161151307. The next prime is 4161151343. The reversal of 4161151332 is 2331511614.

It is a happy number.

4161151332 is a `hidden beast` number, since 4 + 1 + 611 + 5 + 13 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4161151296 and 4161151305.

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, 2215978 + ... + 2217854.

It is an arithmetic number, because the mean of its divisors is an integer number (121162300).

Almost surely, 24161151332 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 4161151332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815790400).

4161151332 is an abundant number, since it is smaller than the sum of its proper divisors (7470429468).

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

4161151332 is a wasteful number, since it uses less digits than its factorization.

4161151332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3474 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 4161151332 is about 64506.9866913655. The cubic root of 4161151332 is about 1608.4386612315.

Adding to 4161151332 its reverse (2331511614), we get a palindrome (6492662946).

The spelling of 4161151332 in words is "four billion, one hundred sixty-one million, one hundred fifty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1579 1877 3158 3754 4737 5631 6316 7508 9474 11262 14211 16893 18948 20527 22524 24401 28422 33786 41054 42633 48802 50679 56844 61581 67572 73203 82108 85266 97604 101358 123162 146406 170532 184743 202716 219609 246324 292812 369486 439218 554229 658827 738972 878436 1108458 1317654 2216916 2635308 2963783 5927566 8891349 11855132 17782698 26674047 35565396 38529179 53348094 77058358 80022141 106696188 115587537 154116716 160044282 231175074 320088564 346762611 462350148 693525222 1040287833 1387050444 2080575666 4161151332