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113533954704 = 24324326532
BaseRepresentation
bin110100110111100100…
…1101010101010010000
3101212001101011110212100
41221233021222222100
53330004143022304
6124053510400400
711126322456252
oct1515711525220
9355041143770
10113533954704
1144170a59635
121a006360100
13a9246c4571
1456d069dcd2
152e474b0439
hex1a6f26aa90

113533954704 has 135 divisors (see below), whose sum is σ = 325797394377. Its totient is φ = 36907936128.

The previous prime is 113533954687. The next prime is 113533954733. The reversal of 113533954704 is 407459335311.

The square root of 113533954704 is 336948.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26419251600 + 87114703104 = 162540^2 + 295152^2 .

It is a super-3 number, since 3×1135339547043 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113533954704.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 173864842 + ... + 173865494.

Almost surely, 2113533954704 is an apocalyptic number.

113533954704 is the 336948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113533954704

113533954704 is an abundant number, since it is smaller than the sum of its proper divisors (212263439673).

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

113533954704 is an frugal number, since it uses more digits than its factorization.

113533954704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 113533954704 in words is "one hundred thirteen billion, five hundred thirty-three million, nine hundred fifty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 653 688 774 1032 1306 1548 1849 1959 2064 2612 3096 3698 3918 5224 5547 5877 6192 7396 7836 10448 11094 11754 14792 15672 16641 22188 23508 28079 29584 31344 33282 44376 47016 56158 66564 84237 88752 94032 112316 133128 168474 224632 252711 266256 336948 426409 449264 505422 673896 852818 1010844 1207397 1279227 1347792 1705636 2021688 2414794 2558454 3411272 3622191 3837681 4043376 4829588 5116908 6822544 7244382 7675362 9659176 10233816 10866573 14488764 15350724 18335587 19318352 20467632 21733146 28977528 30701448 36671174 43466292 55006761 57955056 61402896 73342348 86932584 110013522 146684696 165020283 173865168 220027044 293369392 330040566 440054088 660081132 788430241 880108176 1320162264 1576860482 2365290723 2640324528 3153720964 4730581446 6307441928 7095872169 9461162892 12614883856 14191744338 18922325784 28383488676 37844651568 56766977352 113533954704