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525376705378512 = 243132227285310013
BaseRepresentation
bin111011101110100111100101…
…1111001011011100011010000
32112220012112002220210021012110
41313131033023321123203100
51022330232443034103022
65101214420532025320
7215443133345564421
oct16735171371334320
92486175086707173
10525376705378512
11142446011709869
124ab11637762240
131971ca70254200
1493a4522561648
1540b13c179400c
hex1ddd3cbe5b8d0

525376705378512 has 120 divisors (see below), whose sum is σ = 1476130102992864. Its totient is φ = 160942236529152.

The previous prime is 525376705378493. The next prime is 525376705378519. The reversal of 525376705378512 is 215873507673525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525376705378519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140813583 + ... + 144496430.

Almost surely, 2525376705378512 is an apocalyptic number.

525376705378512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

525376705378512 is an abundant number, since it is smaller than the sum of its proper divisors (950753397614352).

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

525376705378512 is a wasteful number, since it uses less digits than its factorization.

525376705378512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285310277 (or 285310258 counting only the distinct ones).

The product of its (nonzero) digits is 370440000, while the sum is 66.

The spelling of 525376705378512 in words is "five hundred twenty-five trillion, three hundred seventy-six billion, seven hundred five million, three hundred seventy-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 227 312 338 454 507 624 676 681 908 1014 1352 1362 1816 2028 2704 2724 2951 3632 4056 5448 5902 8112 8853 10896 11804 17706 23608 35412 38363 47216 70824 76726 115089 141648 153452 230178 306904 460356 613808 920712 1841424 285310013 570620026 855930039 1141240052 1711860078 2282480104 3423720156 3709030169 4564960208 6847440312 7418060338 11127090507 13694880624 14836120676 22254181014 29672241352 44508362028 48217392197 59344482704 64765372951 89016724056 96434784394 129530745902 144652176591 178033448112 192869568788 194296118853 259061491804 289304353182 385739137576 388592237706 518122983608 578608706364 771478275152 777184475412 841949848363 1036245967216 1157217412728 1554368950824 1683899696726 2314434825456 2525849545089 3108737901648 3367799393452 5051699090178 6735598786904 10103398180356 10945348028719 13471197573808 20206796360712 21890696057438 32836044086157 40413592721424 43781392114876 65672088172314 87562784229752 131344176344628 175125568459504 262688352689256 525376705378512