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85399645248 = 263417969041
BaseRepresentation
bin100111110001000110…
…1110010110001000000
322011102122111110210000
41033202031302301000
52344344302121443
6103122042440000
76112166002401
oct1174215626100
9264378443700
1085399645248
1133243967515
1214674203000
13808ca0c688
1441c1d4b9a8
15234c5688d3
hex13e2372c40

85399645248 has 140 divisors (see below), whose sum is σ = 268042831452. Its totient is φ = 26792017920.

The previous prime is 85399645183. The next prime is 85399645267. The reversal of 85399645248 is 84254699358.

85399645248 is a `hidden beast` number, since 8 + 53 + 9 + 96 + 452 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45450828864 + 39948816384 = 213192^2 + 199872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 396393 + ... + 572648.

Almost surely, 285399645248 is an apocalyptic number.

It is an amenable number.

85399645248 is an abundant number, since it is smaller than the sum of its proper divisors (182643186204).

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

85399645248 is a wasteful number, since it uses less digits than its factorization.

85399645248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969082 (or 969063 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 85399645248 in words is "eighty-five billion, three hundred ninety-nine million, six hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 22032 29376 44064 88128 969041 1938082 2907123 3876164 5814246 7752328 8721369 11628492 15504656 16473697 17442738 23256984 26164107 31009312 32947394 34885476 46513968 49421091 52328214 62018624 65894788 69770952 78492321 93027936 98842182 104656428 131789576 139541904 148263273 156984642 186055872 197684364 209312856 263579152 279083808 296526546 313969284 395368728 418625712 444789819 527158304 558167616 593053092 627938568 790737456 837251424 889579638 1054316608 1186106184 1255877136 1334369457 1581474912 1674502848 1779159276 2372212368 2511754272 2668738914 3162949824 3558318552 4744424736 5023508544 5337477828 7116637104 9488849472 10674955656 14233274208 21349911312 28466548416 42699822624 85399645248