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128864273776 = 24723531795273
BaseRepresentation
bin111100000000011101…
…0001100010101110000
3110022121202212101010121
41320000322030111300
54102403223230101
6135111024340024
712211243153120
oct1700072142560
9408552771117
10128864273776
114a718583217
1220b84474614
13c1c87c5694
14634670ac80
1535432c20a1
hex1e00e8c570

128864273776 has 160 divisors (see below), whose sum is σ = 305119042560. Its totient is φ = 51530299392.

The previous prime is 128864273761. The next prime is 128864273777. The reversal of 128864273776 is 677372468821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128864273777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24435876 + ... + 24441148.

It is an arithmetic number, because the mean of its divisors is an integer number (1906994016).

Almost surely, 2128864273776 is an apocalyptic number.

128864273776 is a gapful number since it is divisible by the number (16) 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 128864273776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152559521280).

128864273776 is an abundant number, since it is smaller than the sum of its proper divisors (176254768784).

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

128864273776 is a wasteful number, since it uses less digits than its factorization.

128864273776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5543 (or 5537 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 61.

The spelling of 128864273776 in words is "one hundred twenty-eight billion, eight hundred sixty-four million, two hundred seventy-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 53 56 92 106 112 161 179 184 212 322 358 368 371 424 644 716 742 848 1219 1253 1288 1432 1484 2438 2506 2576 2864 2968 4117 4876 5012 5273 5936 8234 8533 9487 9752 10024 10546 16468 17066 18974 19504 20048 21092 28819 32936 34132 36911 37948 42184 57638 65872 66409 68264 73822 75896 84368 115276 121279 132818 136528 147644 151792 218201 230552 242558 265636 279469 295288 436402 461104 485116 531272 558938 590576 848953 872804 943867 970232 1062544 1117876 1527407 1697906 1745608 1887734 1940464 1956283 2235752 3054814 3395812 3491216 3775468 3912566 4471504 6109628 6427787 6607069 6791624 7550936 7825132 12219256 12855574 13214138 13583248 15101872 15650264 21708941 24438512 25711148 26428276 31300528 43417882 44994509 50024951 51422296 52856552 86835764 89989018 100049902 102844592 105713104 151962587 173671528 179978036 200099804 303925174 347343056 350174657 359956072 400199608 607850348 700349314 719912144 800399216 1150573873 1215700696 1400698628 2301147746 2431401392 2801397256 4602295492 5602794512 8054017111 9204590984 16108034222 18409181968 32216068444 64432136888 128864273776