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115399716365476 = 2223234726732
BaseRepresentation
bin11010001111010010010111…
…000110011110010010100100
3120010121002211122112011002201
4122033102113012132102210
5110111202104342143401
61045233521533144244
733210232356364144
oct3217222706362244
9503532748464081
10115399716365476
1133851821473254
1210b392a362b084
134c511b9cb5c7a
14206d539d36924
15d51c289a2b01
hex68f49719e4a4

115399716365476 has 81 divisors (see below), whose sum is σ = 212036879750241. Its totient is φ = 54950344990464.

The previous prime is 115399716365471. The next prime is 115399716365489. The reversal of 115399716365476 is 674563617993511.

The square root of 115399716365476 is 10742426.

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., 37765572436900 + 77634143928576 = 6145370^2 + 8811024^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 115399716365399 and 115399716365408.

It is not an unprimeable number, because it can be changed into a prime (115399716365471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 171470603476 + ... + 171470604148.

Almost surely, 2115399716365476 is an apocalyptic number.

115399716365476 is the 10742426-th square number.

It is an amenable number.

115399716365476 is a deficient number, since it is larger than the sum of its proper divisors (96637163384765).

115399716365476 is an frugal number, since it uses more digits than its factorization.

115399716365476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 1045 counting only the distinct ones).

The product of its digits is 771573600, while the sum is 73.

The spelling of 115399716365476 in words is "one hundred fifteen trillion, three hundred ninety-nine billion, seven hundred sixteen million, three hundred sixty-five thousand, four hundred seventy-six".

Divisors: 1 2 4 23 46 92 347 529 673 694 1058 1346 1388 2116 2692 7981 15479 15962 30958 31924 61916 120409 183563 233531 240818 356017 367126 452929 467062 481636 712034 734252 905858 934124 1424068 1811716 2769407 5371213 5538814 10417367 10742426 11077628 20834734 21484852 41669468 63696361 81035257 123537899 127392722 157166363 162070514 239599441 247075798 254785444 314332726 324141028 479198882 494151596 628665452 958397764 1863810911 3614826349 3727621822 7229652698 7455243644 14459305396 42867650953 54536727961 83141006027 85735301906 109073455922 166282012054 171470603812 218146911844 332564024108 1254344743103 2508689486206 5017378972412 28849929091369 57699858182738 115399716365476