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128852132040 = 233251918838031
BaseRepresentation
bin111100000000000101…
…1111000000011001000
3110022120221000111210200
41320000023320003020
54102342121211130
6135105512212200
712211035023352
oct1700013700310
9408527014720
10128852132040
114a71173aa25
1220b8039a060
13c1c6134018
146344c6a0d2
1535421c4760
hex1e002f80c8

128852132040 has 96 divisors (see below), whose sum is σ = 440809948800. Its totient is φ = 32552115840.

The previous prime is 128852132039. The next prime is 128852132047. The reversal of 128852132040 is 40231258821.

It is a happy number.

128852132040 is a `hidden beast` number, since 1 + 288 + 52 + 1 + 320 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128852131986 and 128852132004.

It is not an unprimeable number, because it can be changed into a prime (128852132047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9412176 + ... + 9425855.

It is an arithmetic number, because the mean of its divisors is an integer number (4591770300).

Almost surely, 2128852132040 is an apocalyptic number.

128852132040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128852132040 is an abundant number, since it is smaller than the sum of its proper divisors (311957816760).

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

128852132040 is a wasteful number, since it uses less digits than its factorization.

128852132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18838067 (or 18838060 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 128852132040 in words is "one hundred twenty-eight billion, eight hundred fifty-two million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 18838031 37676062 56514093 75352124 94190155 113028186 150704248 169542279 188380310 226056372 282570465 339084558 357922589 376760620 452112744 565140930 678169116 715845178 753521240 847711395 1073767767 1130281860 1356338232 1431690356 1695422790 1789612945 2147535534 2260563720 2863380712 3221303301 3390845580 3579225890 4295071068 5368838835 6442606602 6781691160 7158451780 8590142136 10737677670 12885213204 14316903560 16106516505 21475355340 25770426408 32213033010 42950710680 64426066020 128852132040