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128855858320 = 24571961198533
BaseRepresentation
bin111100000000001101…
…0000101110010010000
3110022121012000211022001
41320000122011302100
54102344044431240
6135110124123344
712211111503220
oct1700032056220
9408535024261
10128855858320
114a7138555a2
1220b81696554
13c1c6b3a117
14634555a080
1535426ad89a
hex1e00685c90

128855858320 has 160 divisors (see below), whose sum is σ = 366319054080. Its totient is φ = 41167595520.

The previous prime is 128855858309. The next prime is 128855858347. The reversal of 128855858320 is 23858558821.

It is an unprimeable number.

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, 549774 + ... + 748306.

It is an arithmetic number, because the mean of its divisors is an integer number (2289494088).

Almost surely, 2128855858320 is an apocalyptic number.

128855858320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128855858320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183159527040).

128855858320 is an abundant number, since it is smaller than the sum of its proper divisors (237463195760).

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

128855858320 is a wasteful number, since it uses less digits than its factorization.

128855858320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198633 (or 198627 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 55.

The spelling of 128855858320 in words is "one hundred twenty-eight billion, eight hundred fifty-five million, eight hundred fifty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 61 70 76 80 95 112 122 133 140 152 190 244 266 280 304 305 380 427 488 532 560 610 665 760 854 976 1064 1159 1220 1330 1520 1708 2128 2135 2318 2440 2660 3416 4270 4636 4880 5320 5795 6832 8113 8540 9272 10640 11590 16226 17080 18544 23180 32452 34160 40565 46360 64904 81130 92720 129808 162260 198533 324520 397066 649040 794132 992665 1389731 1588264 1985330 2779462 3176528 3772127 3970660 5558924 6948655 7544254 7941320 11117848 12110513 13897310 15088508 15882640 18860635 22235696 24221026 26404889 27794620 30177016 37721270 48442052 52809778 55589240 60354032 60552565 75442540 84773591 96884104 105619556 111178480 121105130 132024445 150885080 169547182 193768208 211239112 230099747 242210260 264048890 301770160 339094364 422478224 423867955 460199494 484420520 528097780 678188728 847735910 920398988 968841040 1056195560 1150498735 1356377456 1610698229 1695471820 1840797976 2112391120 2300997470 3221396458 3390943640 3681595952 4601994940 6442792916 6781887280 8053491145 9203989880 12885585832 16106982290 18407979760 25771171664 32213964580 64427929160 128855858320