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1099131780992 = 27723183129129
BaseRepresentation
bin11111111111010010101…
…10111111111110000000
310220002001101100200011012
433333221112333332000
5121002010213442432
62200533440340052
7142260336662540
oct17775126777600
93802041320135
101099131780992
11394159266223
12159029014628
137c855c5b40b
143b2ac061320
151d8ce650cb2
hexffe95bff80

1099131780992 has 128 divisors (see below), whose sum is σ = 2612807193600. Its totient is φ = 450314219520.

The previous prime is 1099131780991. The next prime is 1099131781021. The reversal of 1099131780992 is 2990871319901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1099131780991) 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, 37718684 + ... + 37747812.

It is an arithmetic number, because the mean of its divisors is an integer number (20412556200).

Almost surely, 21099131780992 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 1099131780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306403596800).

1099131780992 is an abundant number, since it is smaller than the sum of its proper divisors (1513675412608).

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

1099131780992 is a wasteful number, since it uses less digits than its factorization.

1099131780992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31004 (or 30992 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 59.

The spelling of 1099131780992 in words is "one trillion, ninety-nine billion, one hundred thirty-one million, seven hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 1831 2576 2944 3662 5152 7324 10304 12817 14648 20608 25634 29129 29296 42113 51268 58258 58592 84226 102536 116516 117184 168452 203903 205072 233032 234368 294791 336904 407806 410144 466064 589582 669967 673808 815612 820288 932128 1179164 1339934 1347616 1631224 1640576 1864256 2358328 2679868 2695232 3262448 3728512 4689769 4716656 5359736 5390464 6524896 9379538 9433312 10719472 13049792 18759076 18866624 21438944 26099584 37518152 37733248 42877888 53335199 75036304 85755776 106670398 150072608 213340796 300145216 373346393 426681592 600290432 746692786 853363184 1226709577 1493385572 1706726368 2453419154 2986771144 3413452736 4906838308 5973542288 6826905472 8586967039 9813676616 11947084576 17173934078 19627353232 23894169152 34347868156 39254706464 47788338304 68695736312 78509412928 137391472624 157018825856 274782945248 549565890496 1099131780992