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128352625056 = 2533306748437
BaseRepresentation
bin111011110001001101…
…0011010000110100000
3110021022010002221001000
41313202122122012200
54100331233000211
6134544150112000
712162461211645
oct1674232320640
9407263087030
10128352625056
114a48578aa37
1220a6104b600
13c1467c2466
1462d87a1dcc
153513407656
hex1de269a1a0

128352625056 has 96 divisors (see below), whose sum is σ = 374491615680. Its totient is φ = 42769375488.

The previous prime is 128352625033. The next prime is 128352625069. The reversal of 128352625056 is 650526253821.

128352625056 is a `hidden beast` number, since 1 + 2 + 83 + 5 + 2 + 62 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1283526250562 (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2625670 + ... + 2674106.

It is an arithmetic number, because the mean of its divisors is an integer number (3900954330).

Almost surely, 2128352625056 is an apocalyptic number.

128352625056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

128352625056 is an abundant number, since it is smaller than the sum of its proper divisors (246138990624).

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

128352625056 is a wasteful number, since it uses less digits than its factorization.

128352625056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51523 (or 51509 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

Adding to 128352625056 its reverse (650526253821), we get a palindrome (778878878877).

The spelling of 128352625056 in words is "one hundred twenty-eight billion, three hundred fifty-two million, six hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3067 6134 9201 12268 18402 24536 27603 36804 48437 49072 55206 73608 82809 96874 98144 110412 145311 147216 165618 193748 220824 290622 294432 331236 387496 435933 441648 581244 662472 774992 871866 883296 1162488 1307799 1324944 1549984 1743732 2324976 2615598 2649888 3487464 4649952 5231196 6974928 10462392 13949856 20924784 41849568 148556279 297112558 445668837 594225116 891337674 1188450232 1337006511 1782675348 2376900464 2674013022 3565350696 4011019533 4753800928 5348026044 7130701392 8022039066 10696052088 14261402784 16044078132 21392104176 32088156264 42784208352 64176312528 128352625056