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128875128840 = 23335294114787
BaseRepresentation
bin111100000000110001…
…1100110100000001000
3110022122112021212111000
41320001203212200020
54102414013110330
6135112053135000
712211434343413
oct1700143464010
9408575255430
10128875128840
114a723717847
1220b8802a460
13c1cab264b3
146347d34b7a
153544218560
hex1e018e6808

128875128840 has 128 divisors (see below), whose sum is σ = 444397104000. Its totient is φ = 33181634304.

The previous prime is 128875128839. The next prime is 128875128841. The reversal of 128875128840 is 48821578821.

It is a happy number.

128875128840 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 7 + 512 + 88 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (128875128839) and next prime (128875128841).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (128875128841) 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 31 ways as a sum of consecutive naturals, for example, 2026074 + ... + 2088713.

It is an arithmetic number, because the mean of its divisors is an integer number (3471852375).

Almost surely, 2128875128840 is an apocalyptic number.

128875128840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128875128840 is an abundant number, since it is smaller than the sum of its proper divisors (315521975160).

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

128875128840 is a wasteful number, since it uses less digits than its factorization.

128875128840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114836 (or 4114826 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 128875128840 in words is "one hundred twenty-eight billion, eight hundred seventy-five million, one hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10440 15660 31320 4114787 8229574 12344361 16459148 20573935 24688722 32918296 37033083 41147870 49377444 61721805 74066166 82295740 98754888 111099249 119328823 123443610 148132332 164591480 185165415 222198498 238657646 246887220 296264664 357986469 370330830 444396996 477315292 493774440 555496245 596644115 715972938 740661660 888793992 954630584 1073959407 1110992490 1193288230 1431945876 1481323320 1789932345 2147918814 2221984980 2386576460 2863891752 3221878221 3579864690 4295837628 4443969960 4773152920 5369797035 6443756442 7159729380 8591675256 10739594070 12887512884 14319458760 16109391105 21479188140 25775025768 32218782210 42958376280 64437564420 128875128840