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1097445871104 = 29311101643099
BaseRepresentation
bin11111111100001001101…
…11110000111000000000
310212220200220000120120020
433332010313300320000
5120440032120333404
62200054253413440
7142200505663422
oct17760467607000
93786626016506
101097445871104
11393473647170
1215883849a280
137c6478a62bb
143b18c1a6812
151d831631ed9
hexff84df0e00

1097445871104 has 160 divisors (see below), whose sum is σ = 3221035804800. Its totient is φ = 329266176000.

The previous prime is 1097445871099. The next prime is 1097445871111. The reversal of 1097445871104 is 4011785447901.

It is a happy number.

1097445871104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1384947 + ... + 2028045.

It is an arithmetic number, because the mean of its divisors is an integer number (20131473780).

Almost surely, 21097445871104 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 1097445871104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610517902400).

1097445871104 is an abundant number, since it is smaller than the sum of its proper divisors (2123589933696).

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

1097445871104 is a wasteful number, since it uses less digits than its factorization.

1097445871104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643232 (or 643216 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 1097445871104 in words is "one trillion, ninety-seven billion, four hundred forty-five million, eight hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 128 132 176 192 202 256 264 303 352 384 404 512 528 606 704 768 808 1056 1111 1212 1408 1536 1616 2112 2222 2424 2816 3232 3333 4224 4444 4848 5632 6464 6666 8448 8888 9696 12928 13332 16896 17776 19392 25856 26664 35552 38784 51712 53328 71104 77568 106656 142208 155136 213312 284416 426624 568832 643099 853248 1286198 1706496 1929297 2572396 3858594 5144792 7074089 7717188 10289584 14148178 15434376 20579168 21222267 28296356 30868752 41158336 42444534 56592712 61737504 64952999 82316672 84889068 113185424 123475008 129905998 164633344 169778136 194858997 226370848 246950016 259811996 329266688 339556272 389717994 452741696 493900032 519623992 679112544 714482989 779435988 905483392 987800064 1039247984 1358225088 1428965978 1558871976 1810966784 2078495968 2143448967 2716450176 2857931956 3117743952 3621933568 4156991936 4286897934 5432900352 5715863912 6235487904 8313983872 8573795868 10865800704 11431727824 12470975808 16627967744 17147591736 22863455648 24941951616 33255935488 34295183472 45726911296 49883903232 68590366944 91453822592 99767806464 137180733888 182907645184 274361467776 365815290368 548722935552 1097445871104