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4181923872 = 253275339139
BaseRepresentation
bin1111100101000011…
…0001100000100000
3101210110000202002100
43321100301200200
532031033030442
61530545050400
7205426523610
oct37120614040
911713022070
104181923872
111856650335
12988626a00
1351851a189
142b958ca40
1519720d84c
hexf9431820

4181923872 has 144 divisors (see below), whose sum is σ = 13848045120. Its totient is φ = 1172261376.

The previous prime is 4181923793. The next prime is 4181923877. The reversal of 4181923872 is 2783291814.

It is a happy number.

4181923872 is a `hidden beast` number, since 4 + 181 + 92 + 387 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4181923877) 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, 87279 + ... + 126417.

It is an arithmetic number, because the mean of its divisors is an integer number (96166980).

Almost surely, 24181923872 is an apocalyptic number.

4181923872 is a gapful number since it is divisible by the number (42) 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 4181923872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924022560).

4181923872 is an abundant number, since it is smaller than the sum of its proper divisors (9666121248).

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

4181923872 is a wasteful number, since it uses less digits than its factorization.

4181923872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39215 (or 39204 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 4181923872 is about 64667.7962513027. The cubic root of 4181923872 is about 1611.1106711917.

The spelling of 4181923872 in words is "four billion, one hundred eighty-one million, nine hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1113 1272 1484 1696 1908 2016 2226 2544 2968 3339 3816 4452 5088 5936 6678 7632 8904 11872 13356 15264 17808 26712 35616 39139 53424 78278 106848 117417 156556 234834 273973 313112 352251 469668 547946 626224 704502 821919 939336 1095892 1252448 1409004 1643838 1878672 2074367 2191784 2465757 2818008 3287676 3757344 4148734 4383568 4931514 5636016 6223101 6575352 8297468 8767136 9863028 11272032 12446202 13150704 14520569 16594936 18669303 19726056 24892404 26301408 29041138 33189872 37338606 39452112 43561707 49784808 58082276 66379744 74677212 78904224 87123414 99569616 116164552 130685121 149354424 174246828 199139232 232329104 261370242 298708848 348493656 464658208 522740484 597417696 696987312 1045480968 1393974624 2090961936 4181923872