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3673226142 = 2321761307641
BaseRepresentation
bin1101101011110000…
…1111101110011110
3100110222211012222200
43122330033232132
530010321214032
61404253552330
7160011623055
oct33274175636
910428735880
103673226142
111615493193
128661a56a6
1346700b1c1
1426bbb139c
1516772847c
hexdaf0fb9e

3673226142 has 96 divisors (see below), whose sum is σ = 8606261664. Its totient is φ = 1128038400.

The previous prime is 3673226113. The next prime is 3673226143. The reversal of 3673226142 is 2416223763.

3673226142 is a `hidden beast` number, since 3 + 6 + 7 + 32 + 2 + 614 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3673226097 and 3673226106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673226143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5730142 + ... + 5730782.

It is an arithmetic number, because the mean of its divisors is an integer number (89648559).

Almost surely, 23673226142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3673226142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303130832).

3673226142 is an abundant number, since it is smaller than the sum of its proper divisors (4933035522).

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

3673226142 is a wasteful number, since it uses less digits than its factorization.

3673226142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1031 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 3673226142 is about 60607.1459648118. The cubic root of 3673226142 is about 1542.9406540408.

The spelling of 3673226142 in words is "three billion, six hundred seventy-three million, two hundred twenty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 307 366 549 614 641 921 1037 1098 1282 1842 1923 2074 2763 3111 3846 5219 5526 5769 6222 9333 10438 10897 11538 15657 18666 18727 21794 31314 32691 37454 39101 46971 56181 65382 78202 93942 98073 112362 117303 168543 196146 196787 234606 318359 337086 351909 393574 590361 636718 664717 703818 955077 1180722 1329434 1771083 1910154 1994151 2865231 3345379 3542166 3988302 5730462 5982453 6690758 10036137 11964906 12004007 20072274 24008014 30108411 36012021 60216822 72024042 108036063 204068119 216072126 408136238 612204357 1224408714 1836613071 3673226142