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72245816689794 = 231119732411327337
BaseRepresentation
bin10000011011010100001010…
…001111011000010010000010
3100110210122002011221022002220
4100123110022033120102002
533432133413033033134
6413353134153151510
721134405454361146
oct2033241217302202
9313718064838086
1072245816689794
11210243080932a0
1281298819bb596
13314099c745a77
1413baa052d7226
1585442d408149
hex41b50a3d8482

72245816689794 has 128 divisors (see below), whose sum is σ = 168266606238720. Its totient is φ = 20447763379200.

The previous prime is 72245816689741. The next prime is 72245816689799. The reversal of 72245816689794 is 49798661854227.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72245816689799) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220544094 + ... + 220871430.

It is an arithmetic number, because the mean of its divisors is an integer number (1314582861240).

Almost surely, 272245816689794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72245816689794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84133303119360).

72245816689794 is an abundant number, since it is smaller than the sum of its proper divisors (96020789548926).

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

72245816689794 is a wasteful number, since it uses less digits than its factorization.

72245816689794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329856.

The product of its digits is 2926264320, while the sum is 78.

The spelling of 72245816689794 in words is "seventy-two trillion, two hundred forty-five billion, eight hundred sixteen million, six hundred eighty-nine thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 73 114 146 209 219 418 438 627 803 1254 1387 1606 2409 2411 2774 4161 4818 4822 7233 8322 14466 15257 26521 30514 45771 45809 53042 79563 91542 91618 137427 159126 176003 274854 327337 352006 503899 528009 654674 982011 1007798 1056018 1511697 1936033 1964022 3023394 3344057 3600707 3872066 5808099 6219403 6688114 7201414 10032171 10802121 11616198 12438806 18658209 20064342 21604242 23895601 36784627 37316418 47791202 68413433 71686803 73569254 110353881 136826866 143373606 205240299 220707762 262851611 410480598 454016419 525703222 788554833 789209507 908032838 1362049257 1577109666 1578419014 2367628521 2724098514 4735257042 4994180609 8681304577 9988361218 14982541827 14994980633 17362609154 26043913731 29965083654 29989961266 44984941899 52087827462 57612294011 89969883798 115224588022 164944786963 172836882033 329889573926 345673764066 494834360889 633735234121 989668721778 1094633586209 1267470468242 1901205702363 2189267172418 3283900758627 3802411404726 6567801517254 12040969448299 24081938896598 36122908344897 72245816689794