Search a number
-
+
110892703744 = 21329607769
BaseRepresentation
bin110011101000110111…
…0000110000000000000
3101121020022012000200201
41213101232012000000
53304102013004434
6122535435254544
711004011300164
oct1472156060000
9347208160621
10110892703744
11430360496a9
12195a98aa454
13a5c343a584
14551d9a0ca4
152d40682614
hex19d1b86000

110892703744 has 112 divisors (see below), whose sum is σ = 230095958400. Its totient is φ = 53376712704.

The previous prime is 110892703739. The next prime is 110892703777. The reversal of 110892703744 is 447307298011.

It is a junction number, because it is equal to n+sod(n) for n = 110892703694 and 110892703703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144203392 + ... + 144204160.

It is an arithmetic number, because the mean of its divisors is an integer number (2054428200).

Almost surely, 2110892703744 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 110892703744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115047979200).

110892703744 is an abundant number, since it is smaller than the sum of its proper divisors (119203254656).

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

110892703744 is an frugal number, since it uses more digits than its factorization.

110892703744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 110892703744 in words is "one hundred ten billion, eight hundred ninety-two million, seven hundred three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 607 769 928 1024 1214 1538 1856 2048 2428 3076 3712 4096 4856 6152 7424 8192 9712 12304 14848 17603 19424 22301 24608 29696 35206 38848 44602 49216 59392 70412 77696 89204 98432 118784 140824 155392 178408 196864 237568 281648 310784 356816 393728 466783 563296 621568 713632 787456 933566 1126592 1243136 1427264 1574912 1867132 2253184 2486272 2854528 3149824 3734264 4506368 4972544 5709056 6299648 7468528 9012736 11418112 13536707 14937056 18025472 22836224 27073414 29874112 36050944 45672448 54146828 59748224 72101888 91344896 108293656 119496448 144203776 182689792 216587312 238992896 433174624 477985792 866349248 955971584 1732698496 1911943168 3465396992 3823886336 6930793984 13861587968 27723175936 55446351872 110892703744