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20156516415 = 3357199411193
BaseRepresentation
bin10010110001011011…
…000000100000111111
31221000202001010102000
4102301123000200333
5312240032011130
613132040033343
71312332363660
oct226133004077
957022033360
1020156516415
118603912132
123aa6462853
131b92c488b9
14d92dc9367
157ce886260
hex4b16c083f

20156516415 has 128 divisors (see below), whose sum is σ = 43190323200. Its totient is φ = 8712852480.

The previous prime is 20156516357. The next prime is 20156516449. The reversal of 20156516415 is 51461565102.

20156516415 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 6 + 5 + 1 + 641 + 5 = 666.

It is not a de Polignac number, because 20156516415 - 212 = 20156512319 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20156516415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16895059 + ... + 16896251.

It is an arithmetic number, because the mean of its divisors is an integer number (337424400).

Almost surely, 220156516415 is an apocalyptic number.

20156516415 is an abundant number, since it is smaller than the sum of its proper divisors (23033806785).

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

20156516415 is a wasteful number, since it uses less digits than its factorization.

20156516415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 20156516415 in words is "twenty billion, one hundred fifty-six million, five hundred sixteen thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 189 285 315 399 513 665 855 941 945 1193 1197 1995 2565 2823 3579 3591 4705 5965 5985 6587 8351 8469 10737 14115 17879 17895 17955 19761 22667 25053 25407 32211 32935 41755 42345 53637 53685 59283 68001 75159 89395 98805 113335 125153 125265 127035 158669 160911 161055 177849 204003 225477 268185 296415 340005 375459 375795 476007 482733 612009 625765 793345 804555 889245 1020015 1122613 1126377 1127385 1428021 1877295 2380035 2413665 3060045 3367839 3379131 4284063 5613065 5631885 7140105 7858291 10103517 16839195 16895655 21329647 21420315 23574873 30310551 39291455 50517585 63988941 70724619 106648235 117874365 149307529 151552755 191966823 212173857 319944705 353623095 447922587 575900469 746537645 959834115 1060869285 1343767761 2239612935 2879502345 4031303283 6718838805 20156516415