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163243234044 = 22321129101140741
BaseRepresentation
bin1001100000001000001…
…1100001001011111100
3120121100200221111201100
42120002003201023330
510133310231442134
6202554245013100
714536214411022
oct2300203411374
9517320844640
10163243234044
116325a605980
12277799b4190
1312517165017
147c88554712
1543a657a999
hex26020e12fc

163243234044 has 144 divisors (see below), whose sum is σ = 470292207840. Its totient is φ = 47288640000.

The previous prime is 163243234039. The next prime is 163243234069. The reversal of 163243234044 is 440432342361.

163243234044 is a `hidden beast` number, since 1 + 6 + 3 + 243 + 2 + 3 + 404 + 4 = 666.

It is a super-2 number, since 2×1632432340442 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089514 + ... + 1230254.

It is an arithmetic number, because the mean of its divisors is an integer number (3265918110).

Almost surely, 2163243234044 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 163243234044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235146103920).

163243234044 is an abundant number, since it is smaller than the sum of its proper divisors (307048973796).

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

163243234044 is a wasteful number, since it uses less digits than its factorization.

163243234044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140892 (or 140887 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 163243234044 in words is "one hundred sixty-three billion, two hundred forty-three million, two hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 101 116 132 174 198 202 261 303 319 348 396 404 522 606 638 909 957 1044 1111 1212 1276 1818 1914 2222 2871 2929 3333 3636 3828 4444 5742 5858 6666 8787 9999 11484 11716 13332 17574 19998 26361 32219 35148 39996 52722 64438 96657 105444 128876 140741 193314 281482 289971 386628 422223 562964 579942 844446 1159884 1266669 1548151 1688892 2533338 3096302 4081489 4644453 5066676 6192604 8162978 9288906 12244467 13933359 14214841 16325956 18577812 24488934 27866718 28429682 36733401 42644523 44896379 48977868 55733436 56859364 73466802 85289046 89792758 127933569 134689137 146933604 156363251 170578092 179585516 255867138 269378274 312726502 404067411 412230389 469089753 511734276 538756548 625453004 808134822 824460778 938179506 1236691167 1407269259 1616269644 1648921556 1876359012 2473382334 2814538518 3710073501 4534534279 4946764668 5629077036 7420147002 9069068558 13603602837 14840294004 18138137116 27207205674 40810808511 54414411348 81621617022 163243234044