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128790066432 = 2833143125803
BaseRepresentation
bin111011111110001111…
…1000111010100000000
3110022102121020020210110
41313330133013110000
54102230224111212
6135055414031320
712206352334146
oct1677437072400
9408377206713
10128790066432
114a68a6a9135
1220b63648540
13c1b6312b01
14633a911596
15353ba14a3c
hex1dfc7c7500

128790066432 has 144 divisors (see below), whose sum is σ = 362057873408. Its totient is φ = 40578693120.

The previous prime is 128790066373. The next prime is 128790066439. The reversal of 128790066432 is 234660097821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128790066439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960843 + ... + 1086645.

Almost surely, 2128790066432 is an apocalyptic number.

128790066432 is a gapful number since it is divisible by the number (12) 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 128790066432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181028936704).

128790066432 is an abundant number, since it is smaller than the sum of its proper divisors (233267806976).

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

128790066432 is a wasteful number, since it uses less digits than its factorization.

128790066432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125896 (or 125882 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 128790066432 in words is "one hundred twenty-eight billion, seven hundred ninety million, sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 64 86 93 96 124 128 129 172 186 192 248 256 258 344 372 384 496 516 688 744 768 992 1032 1333 1376 1488 1984 2064 2666 2752 2976 3968 3999 4128 5332 5504 5952 7936 7998 8256 10664 11008 11904 15996 16512 21328 23808 31992 33024 42656 63984 85312 125803 127968 170624 251606 255936 341248 377409 503212 511872 754818 1006424 1023744 1509636 2012848 3019272 3899893 4025696 5409529 6038544 7799786 8051392 10819058 11699679 12077088 15599572 16102784 16228587 21638116 23399358 24154176 31199144 32205568 32457174 43276232 46798716 48308352 62398288 64914348 86552464 93597432 96616704 124796576 129828696 167695399 173104928 187194864 249593152 259657392 335390798 346209856 374389728 499186304 503086197 519314784 670781596 692419712 748779456 998372608 1006172394 1038629568 1341563192 1384839424 1497558912 2012344788 2077259136 2683126384 2995117824 4024689576 4154518272 5366252768 8049379152 10732505536 16098758304 21465011072 32197516608 42930022144 64395033216 128790066432