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50993422128 = 24331113977201
BaseRepresentation
bin101111011111011100…
…011101111100110000
311212121211010020121000
4233133130131330300
51313413304002003
635232010002000
73453443636115
oct573734357460
9155554106530
1050993422128
111a698503880
129a71716300
134a68815b7c
14267a64890c
1514d6bc71a3
hexbdf71df30

50993422128 has 160 divisors (see below), whose sum is σ = 160827206400. Its totient is φ = 15341184000.

The previous prime is 50993422063. The next prime is 50993422141. The reversal of 50993422128 is 82122439905.

50993422128 is a `hidden beast` number, since 5 + 0 + 99 + 342 + 212 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621928 + ... + 699128.

It is an arithmetic number, because the mean of its divisors is an integer number (1005170040).

Almost surely, 250993422128 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 50993422128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80413603200).

50993422128 is an abundant number, since it is smaller than the sum of its proper divisors (109833784272).

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

50993422128 is a wasteful number, since it uses less digits than its factorization.

50993422128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77368 (or 77356 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 50993422128 in words is "fifty billion, nine hundred ninety-three million, four hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 139 144 176 198 216 264 278 297 396 417 432 528 556 594 792 834 1112 1188 1251 1529 1584 1668 2224 2376 2502 3058 3336 3753 4587 4752 5004 6116 6672 7506 9174 10008 12232 13761 15012 18348 20016 24464 27522 30024 36696 41283 55044 60048 73392 77201 82566 110088 154402 165132 220176 231603 308804 330264 463206 617608 660528 694809 849211 926412 1235216 1389618 1698422 1852824 2084427 2547633 2779236 3396844 3705648 4168854 5095266 5558472 6793688 7642899 8337708 10190532 10730939 11116944 13587376 15285798 16675416 20381064 21461878 22928697 30571596 32192817 33350832 40762128 42923756 45857394 61143192 64385634 85847512 91714788 96578451 118040329 122286384 128771268 171695024 183429576 193156902 236080658 257542536 289735353 354120987 366859152 386313804 472161316 515085072 579470706 708241974 772627608 944322632 1062362961 1158941412 1416483948 1545255216 1888645264 2124725922 2317882824 2832967896 3187088883 4249451844 4635765648 5665935792 6374177766 8498903688 12748355532 16997807376 25496711064 50993422128