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113559883976704 = 212112151372
BaseRepresentation
bin11001110100100000111000…
…100010111001000000000000
3112220002012220120021222111211
4121310200320202321000000
5104341031120244223304
61041304405052015504
732630300534201554
oct3164407042710000
9486065816258454
10113559883976704
1133202527006400
12108a07bb461594
134b49860645469
14200848334b864
15d1de47020204
hex6748388b9000

113559883976704 has 117 divisors (see below), whose sum is σ = 249630059717521. Its totient is φ = 51614719016960.

The previous prime is 113559883976603. The next prime is 113559883976719. The reversal of 113559883976704 is 407679388955311.

The square root of 113559883976704 is 10656448.

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., 68717468160000 + 44842415816704 = 8289600^2 + 6696448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7502131824 + ... + 7502146960.

Almost surely, 2113559883976704 is an apocalyptic number.

113559883976704 is the 10656448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113559883976704

113559883976704 is an abundant number, since it is smaller than the sum of its proper divisors (136070175740817).

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

113559883976704 is an frugal number, since it uses more digits than its factorization.

113559883976704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30320 (or 15150 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 76.

The spelling of 113559883976704 in words is "one hundred thirteen trillion, five hundred fifty-nine billion, eight hundred eighty-three million, nine hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2048 2816 3872 4096 5632 7744 11264 15137 15488 22528 30274 30976 45056 60548 61952 121096 123904 166507 242192 247808 333014 484384 495616 666028 968768 1332056 1831577 1937536 2664112 3663154 3875072 5328224 7326308 7750144 10656448 14652616 15500288 21312896 29305232 31000576 42625792 58610464 62001152 85251584 117220928 170503168 229128769 234441856 341006336 458257538 468883712 682012672 916515076 937767424 1833030152 1875534848 2520416459 3666060304 3751069696 5040832918 7332120608 7502139392 10081665836 14664241216 20163331672 27724581049 29328482432 40326663344 55449162098 58656964864 80653326688 110898324196 117313929728 161306653376 221796648392 234627859456 322613306752 443593296784 469255718912 645226613504 887186593568 938511437824 1290453227008 1774373187136 2580906454016 3548746374272 5161812908032 7097492748544 10323625816064 14194985497088 28389970994176 56779941988352 113559883976704