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75746861112 = 233132938921521
BaseRepresentation
bin100011010001011011…
…1010110000000111000
321020111221002020021110
41012202313112000320
52220112144023422
654444142040320
75321035460526
oct1064267260070
9236457066243
1075746861112
112a14014596a
121281b5790a0
1371b1c420a0
143947d6d316
151e84de460c
hex11a2dd6038

75746861112 has 128 divisors (see below), whose sum is σ = 211518216000. Its totient is φ = 22444154880.

The previous prime is 75746861111. The next prime is 75746861137. The reversal of 75746861112 is 21116864757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75746861111) 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, 3508912 + ... + 3530432.

Almost surely, 275746861112 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 75746861112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105759108000).

75746861112 is an abundant number, since it is smaller than the sum of its proper divisors (135771354888).

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

75746861112 is a wasteful number, since it uses less digits than its factorization.

75746861112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21961 (or 21957 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

It can be divided in two parts, 7574 and 6861112, that added together give a palindrome (6868686).

The spelling of 75746861112 in words is "seventy-five billion, seven hundred forty-six million, eight hundred sixty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 389 696 754 778 1131 1167 1508 1556 2262 2334 3016 3112 4524 4668 5057 9048 9336 10114 11281 15171 20228 21521 22562 30342 33843 40456 43042 45124 60684 64563 67686 86084 90248 121368 129126 135372 146653 172168 258252 270744 279773 293306 439959 516504 559546 586612 624109 839319 879918 1119092 1173224 1248218 1678638 1759836 1872327 2238184 2496436 3357276 3519672 3744654 4992872 6714552 7489308 8113417 8371669 14978616 16226834 16743338 24340251 25115007 32453668 33486676 48680502 50230014 64907336 66973352 97361004 100460028 108831697 194722008 200920056 217663394 242778401 326495091 435326788 485556802 652990182 728335203 870653576 971113604 1305980364 1456670406 1942227208 2611960728 2913340812 3156119213 5826681624 6312238426 9468357639 12624476852 18936715278 25248953704 37873430556 75746861112