Search a number
-
+
1099579399744 = 26767163224743
BaseRepresentation
bin10000000000000100000…
…010100001111001000000
310220010012120122001122111
4100000010002201321000
5121003414311242434
62201050110345104
7142304413453510
oct20000402417100
93803176561574
101099579399744
113943689a5881
12159132abb194
137c8c7903297
143b31169d840
151d908abd964
hex100040a1e40

1099579399744 has 112 divisors (see below), whose sum is σ = 2546446609408. Its totient is φ = 461364761088.

The previous prime is 1099579399691. The next prime is 1099579399757. The reversal of 1099579399744 is 4479939759901.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4780237 + ... + 5004979.

Almost surely, 21099579399744 is an apocalyptic number.

1099579399744 is a gapful number since it is divisible by the number (14) 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 1099579399744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273223304704).

1099579399744 is an abundant number, since it is smaller than the sum of its proper divisors (1446867209664).

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

1099579399744 is a wasteful number, since it uses less digits than its factorization.

1099579399744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224992 (or 224982 counting only the distinct ones).

The product of its (nonzero) digits is 694416240, while the sum is 76.

The spelling of 1099579399744 in words is "one trillion, ninety-nine billion, five hundred seventy-nine million, three hundred ninety-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 134 163 224 268 326 448 469 536 652 938 1072 1141 1304 1876 2144 2282 2608 3752 4288 4564 5216 7504 9128 10432 10921 15008 18256 21842 30016 36512 43684 73024 76447 87368 152894 174736 224743 305788 349472 449486 611576 698944 898972 1223152 1573201 1797944 2446304 3146402 3595888 4892608 6292804 7191776 12585608 14383552 15057781 25171216 30115562 36633109 50342432 60231124 73266218 100684864 105404467 120462248 146532436 210808934 240924496 256431763 293064872 421617868 481848992 512863526 586129744 843235736 963697984 1025727052 1172259488 1686471472 2051454104 2344518976 2454418303 3372942944 4102908208 4908836606 6745885888 8205816416 9817673212 16411632832 17180928121 19635346424 34361856242 39270692848 68723712484 78541385696 137447424968 157082771392 274894849936 549789699872 1099579399744