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128881283968 = 2719113468973
BaseRepresentation
bin111100000000111101…
…1000101001110000000
3110022122221212120201201
41320001323011032000
54102422102041333
6135112433110544
712211540560403
oct1700173051600
9408587776651
10128881283968
114a727141228
1220b8a0b8454
13c1cc19cc98
146348a97d3a
153544a3217d
hex1e01ec5380

128881283968 has 64 divisors (see below), whose sum is σ = 272661483600. Its totient is φ = 60508643328.

The previous prime is 128881283959. The next prime is 128881284019. The reversal of 128881283968 is 869382188821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1288812839682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40330 + ... + 509302.

Almost surely, 2128881283968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128881283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136330741800).

128881283968 is an abundant number, since it is smaller than the sum of its proper divisors (143780199632).

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

128881283968 is a wasteful number, since it uses less digits than its factorization.

128881283968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469119 (or 469107 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 64.

The spelling of 128881283968 in words is "one hundred twenty-eight billion, eight hundred eighty-one million, two hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 113 128 152 226 304 452 608 904 1216 1808 2147 2432 3616 4294 7232 8588 14464 17176 34352 68704 137408 274816 468973 937946 1875892 3751784 7503568 8910487 15007136 17820974 30014272 35641948 52993949 60028544 71283896 105987898 142567792 211975796 285135584 423951592 570271168 847903184 1006885031 1140542336 1695806368 2013770062 3391612736 4027540124 6783225472 8055080248 16110160496 32220320992 64440641984 128881283968