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536382012720 = 243514961324469
BaseRepresentation
bin1111100111000101101…
…10111111110100110000
31220021111101101110020010
413303202312333310300
532242002243401340
61050224400014520
753516021611311
oct7634266776460
91807441343203
10536382012720
11197529732104
1287b55301440
133b771792c58
141bd650bc608
15de44ba3b80
hex7ce2dbfd30

536382012720 has 160 divisors (see below), whose sum is σ = 1676743128000. Its totient is φ = 141837668352.

The previous prime is 536382012713. The next prime is 536382012721. The reversal of 536382012720 is 27210283635.

It is not an unprimeable number, because it can be changed into a prime (536382012721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21908646 + ... + 21933114.

It is an arithmetic number, because the mean of its divisors is an integer number (10479644550).

Almost surely, 2536382012720 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 536382012720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838371564000).

536382012720 is an abundant number, since it is smaller than the sum of its proper divisors (1140361115280).

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

536382012720 is a wasteful number, since it uses less digits than its factorization.

536382012720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25247 (or 25241 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 536382012720 in words is "five hundred thirty-six billion, three hundred eighty-two million, twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 447 596 613 745 894 1192 1226 1490 1788 1839 2235 2384 2452 2980 3065 3576 3678 4470 4904 5960 6130 7152 7356 8940 9195 9808 11920 12260 14712 17880 18390 24469 24520 29424 35760 36780 48938 49040 73407 73560 91337 97876 122345 146814 147120 182674 195752 244690 274011 293628 365348 367035 391504 456685 489380 548022 587256 730696 734070 913370 978760 1096044 1174512 1370055 1461392 1468140 1826740 1957520 2192088 2740110 2936280 3645881 3653480 4384176 5480220 5872560 7291762 7306960 10937643 10960440 14583524 14999497 18229405 21875286 21920880 29167048 29998994 36458810 43750572 44998491 54688215 58334096 59997988 72917620 74997485 87501144 89996982 109376430 119995976 145835240 149994970 175002288 179993964 218752860 224992455 239991952 291670480 299989940 359987928 437505720 449984910 599979880 719975856 875011440 899969820 1199959760 1799939640 2234925053 3599879280 4469850106 6704775159 8939700212 11174625265 13409550318 17879400424 22349250530 26819100636 33523875795 35758800848 44698501060 53638201272 67047751590 89397002120 107276402544 134095503180 178794004240 268191006360 536382012720