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109522888704 = 2113223572521
BaseRepresentation
bin110011000000000010…
…0101010100000000000
3101110200211122012201100
41212000010222200000
53243300324414304
6122151503334400
710625036123265
oct1460004524000
9343624565640
10109522888704
11424a28a7359
1219286bb1400
13a4356ca028
14542daa926c
152cb02a1439
hex198012a800

109522888704 has 144 divisors (see below), whose sum is σ = 316581943860. Its totient is φ = 36477665280.

The previous prime is 109522888681. The next prime is 109522888823. The reversal of 109522888704 is 407888225901.

109522888704 is a `hidden beast` number, since 109 + 522 + 8 + 8 + 8 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79496930304 + 30025958400 = 281952^2 + 173280^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43442964 + ... + 43445484.

Almost surely, 2109522888704 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 109522888704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158290971930).

109522888704 is an abundant number, since it is smaller than the sum of its proper divisors (207059055156).

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

109522888704 is a wasteful number, since it uses less digits than its factorization.

109522888704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 109522888704 in words is "one hundred nine billion, five hundred twenty-two million, eight hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2357 2521 3072 4608 4714 5042 6144 7071 7563 9216 9428 10084 14142 15126 18432 18856 20168 21213 22689 28284 30252 37712 40336 42426 45378 56568 60504 75424 80672 84852 90756 113136 121008 150848 161344 169704 181512 226272 242016 301696 322688 339408 363024 452544 484032 603392 645376 678816 726048 905088 968064 1206784 1290752 1357632 1452096 1810176 1936128 2413568 2581504 2715264 2904192 3620352 3872256 4827136 5163008 5430528 5808384 5941997 7240704 7744512 10861056 11616768 11883994 14481408 15489024 17825991 21722112 23233536 23767988 35651982 43444224 46467072 47535976 53477973 71303964 95071952 106955946 142607928 190143904 213911892 285215856 380287808 427823784 570431712 760575616 855647568 1140863424 1521151232 1711295136 2281726848 3042302464 3422590272 4563453696 6084604928 6845180544 9126907392 12169209856 13690361088 18253814784 27380722176 36507629568 54761444352 109522888704