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152516881128 = 23347791711519
BaseRepresentation
bin1000111000001010110…
…1101110101011101000
3112120200011102022201010
42032002231232223220
54444323310144003
6154022034023520
714006340046053
oct2160255565350
9476604368633
10152516881128
11597558921a7
1225685717ba0
13114c7b3c531
14754bb57a9a
153e79a42003
hex2382b6eae8

152516881128 has 64 divisors (see below), whose sum is σ = 394334208000. Its totient is φ = 49127412672.

The previous prime is 152516881117. The next prime is 152516881163. The reversal of 152516881128 is 821188615251.

152516881128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1525168811282 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 766648 + ... + 944871.

It is an arithmetic number, because the mean of its divisors is an integer number (6161472000).

Almost surely, 2152516881128 is an apocalyptic number.

It is an amenable number.

152516881128 is an abundant number, since it is smaller than the sum of its proper divisors (241817326872).

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

152516881128 is a wasteful number, since it uses less digits than its factorization.

152516881128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711654 (or 1711650 counting only the distinct ones).

The product of its digits is 307200, while the sum is 48.

The spelling of 152516881128 in words is "one hundred fifty-two billion, five hundred sixteen million, eight hundred eighty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 79 94 141 158 188 237 282 316 376 474 564 632 948 1128 1896 3713 7426 11139 14852 22278 29704 44556 89112 1711519 3423038 5134557 6846076 10269114 13692152 20538228 41076456 80441393 135210001 160882786 241324179 270420002 321765572 405630003 482648358 540840004 643531144 811260006 965296716 1081680008 1622520012 1930593432 3245040024 6354870047 12709740094 19064610141 25419480188 38129220282 50838960376 76258440564 152516881128