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1126275644728 = 2313194027141539
BaseRepresentation
bin10000011000111011010…
…000100111110100111000
310222200010002022211010201
4100120323100213310320
5121423103031112403
62221223123451544
7144241106010523
oct20307320476470
93880102284121
101126275644728
113a471826a863
12162343526bb4
138229069cb50
143c725031bba
151e46c65221d
hex1063b427d38

1126275644728 has 64 divisors (see below), whose sum is σ = 2394517104000. Its totient is φ = 492334837632.

The previous prime is 1126275644677. The next prime is 1126275644729. The reversal of 1126275644728 is 8274465726211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126275644729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7886583 + ... + 8028121.

It is an arithmetic number, because the mean of its divisors is an integer number (37414329750).

Almost surely, 21126275644728 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 1126275644728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197258552000).

1126275644728 is an abundant number, since it is smaller than the sum of its proper divisors (1268241459272).

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

1126275644728 is a wasteful number, since it uses less digits than its factorization.

1126275644728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145604 (or 145600 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 55.

The spelling of 1126275644728 in words is "one trillion, one hundred twenty-six billion, two hundred seventy-five million, six hundred forty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1976 4027 8054 16108 32216 52351 76513 104702 141539 153026 209404 283078 306052 418808 566156 612104 994669 1132312 1840007 1989338 2689241 3680014 3978676 5378482 7360028 7957352 10756964 14720056 21513928 34960133 69920266 139840532 279681064 569977553 1139955106 2279910212 4559820424 7409708189 10829573507 14819416378 21659147014 29638832756 43318294028 59277665512 86636588056 140784455591 281568911182 563137822364 1126275644728