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71823765036420 = 2232529137100433153
BaseRepresentation
bin10000010101001011000110…
…000000000101110110000100
3100102022021200200021212112100
4100111023012000011312010
533403230032322131140
6412431214313352100
721062044565456415
oct2025130600056604
9312267620255470
1071823765036420
1120981318a15381
12807bb15708630
13310cc4b66b927
1413a440858980c
1584847aacb530
hex4152c6005d84

71823765036420 has 144 divisors (see below), whose sum is σ = 227023118627760. Its totient is φ = 18357573255168.

The previous prime is 71823765036337. The next prime is 71823765036421. The reversal of 71823765036420 is 2463056732817.

It is a happy number.

71823765036420 is a `hidden beast` number, since 7 + 1 + 8 + 2 + 3 + 76 + 503 + 64 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4855042069056 + 66968722967364 = 2203416^2 + 8183442^2 .

It is not an unprimeable number, because it can be changed into a prime (71823765036421) 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, 49501437 + ... + 50931716.

It is an arithmetic number, because the mean of its divisors is an integer number (1576549434915).

Almost surely, 271823765036420 is an apocalyptic number.

It is an amenable number.

71823765036420 is an abundant number, since it is smaller than the sum of its proper divisors (155199353591340).

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

71823765036420 is a wasteful number, since it uses less digits than its factorization.

71823765036420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100433334 (or 100433329 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 71823765036420 in words is "seventy-one trillion, eight hundred twenty-three billion, seven hundred sixty-five million, thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 137 145 174 180 261 274 290 348 411 435 522 548 580 685 822 870 1044 1233 1305 1370 1644 1740 2055 2466 2610 2740 3973 4110 4932 5220 6165 7946 8220 11919 12330 15892 19865 23838 24660 35757 39730 47676 59595 71514 79460 119190 143028 178785 238380 357570 715140 100433153 200866306 301299459 401732612 502165765 602598918 903898377 1004331530 1205197836 1506497295 1807796754 2008663060 2912561437 3012994590 3615593508 4519491885 5825122874 6025989180 8737684311 9038983770 11650245748 13759341961 14562807185 17475368622 18077967540 26213052933 27518683922 29125614370 34950737244 41278025883 43688421555 52426105866 55037367844 58251228740 68796709805 82556051766 87376843110 104852211732 123834077649 131065264665 137593419610 165112103532 174753686220 206390129415 247668155298 262130529330 275186839220 399020916869 412780258830 495336310596 524261058660 619170388245 798041833738 825560517660 1197062750607 1238340776490 1596083667476 1995104584345 2394125501214 2476681552980 3591188251821 3990209168690 4788251002428 5985313753035 7182376503642 7980418337380 11970627506070 14364753007284 17955941259105 23941255012140 35911882518210 71823765036420