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72223353065336 = 23112647977118033
BaseRepresentation
bin10000011010111111001111…
…010011011100111101111000
3100110201111002122122221102212
4100122333033103130331320
533431301411341042321
6413334541135514252
721132652005616514
oct2032771723347570
9313644078587385
1072223353065336
112101582aa45800
128125452988988
13313b82c8368a5
1413b98b3b4d144
15853a6624955b
hex41afcf4dcf78

72223353065336 has 96 divisors (see below), whose sum is σ = 149232661895520. Its totient is φ = 32744229703680.

The previous prime is 72223353065333. The next prime is 72223353065429. The reversal of 72223353065336 is 63356035332227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72223353065333) 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, 611832176 + ... + 611950208.

It is an arithmetic number, because the mean of its divisors is an integer number (1554506894745).

Almost surely, 272223353065336 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 72223353065336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74616330947760).

72223353065336 is an abundant number, since it is smaller than the sum of its proper divisors (77009308830184).

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

72223353065336 is a wasteful number, since it uses less digits than its factorization.

72223353065336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119685 (or 119670 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 50.

The spelling of 72223353065336 in words is "seventy-two trillion, two hundred twenty-three billion, three hundred fifty-three million, sixty-five thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 647 968 977 1294 1954 2588 3908 5176 7117 7816 10747 14234 21494 28468 42988 56936 78287 85976 118033 118217 156574 236066 236434 313148 472132 472868 626296 632119 944264 945736 1264238 1298363 2528476 2596726 5056952 5193452 6953309 10386904 13906618 14281993 27813236 28563986 55626472 57127972 76367351 76486399 114255944 115318241 152734702 152972798 230636482 305469404 305945596 461272964 610938808 611891192 840040861 922545928 1268500651 1680081722 2537001302 3360163444 5074002604 6720326888 9240449471 10148005208 13953507161 18480898942 27907014322 36961797884 55814028644 73923595768 74610901927 111628057288 149221803854 298443607708 596887215416 820719921197 1641439842394 3282879684788 6565759369576 9027919133167 18055838266334 36111676532668 72223353065336