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215022002324512 = 2589557135546317
BaseRepresentation
bin110000111000111110110110…
…000100010100010000100000
31001012022220101001020022220211
4300320332312010110100200
5211140410030043341022
62041151424425143504
763201553444264045
oct6070766604242040
91035286331208824
10215022002324512
1162570356777999
122014885562ab94
1392c9645965696
143b151986c31cc
1519cd338140e77
hexc38fb6114420

215022002324512 has 48 divisors (see below), whose sum is σ = 428849573667480. Its totient is φ = 106112162387968.

The previous prime is 215022002324477. The next prime is 215022002324513. The reversal of 215022002324512 is 215423200220512.

It can be written as a sum of positive squares in 4 ways, for example, as 115664088316176 + 99357914008336 = 10754724^2 + 9967844^2 .

It is a super-3 number, since 3×2150220023245123 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (215022002324513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66186823 + ... + 69359494.

Almost surely, 2215022002324512 is an apocalyptic number.

It is an amenable number.

215022002324512 is a deficient number, since it is larger than the sum of its proper divisors (213827571342968).

215022002324512 is a wasteful number, since it uses less digits than its factorization.

215022002324512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135546973 (or 135546965 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 215022002324512 in words is "two hundred fifteen trillion, twenty-two billion, two million, three hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 89 178 356 557 712 1114 1424 2228 2848 4456 8912 17824 49573 99146 198292 396584 793168 1586336 135546317 271092634 542185268 1084370536 2168741072 4337482144 12063622213 24127244426 48254488852 75499298569 96508977704 150998597138 193017955408 301997194276 386035910816 603994388552 1207988777104 2415977554208 6719437572641 13438875145282 26877750290564 53755500581128 107511001162256 215022002324512