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15934634896041 = 3217229226992
BaseRepresentation
bin1110011111100001001001…
…0000001010101010101001
32002102100002002210110221100
43213320102100022222221
54042033113013133131
653520134211032013
73233145051551331
oct347702220125251
962370062713840
1015934634896041
115093927a903a4
1219542a4b9b609
138b78253885c4
143d1351ac80c1
151c976a6527e6
hexe7e1240aaa9

15934634896041 has 81 divisors (see below), whose sum is σ = 25331831531461. Its totient is φ = 9649860019968.

The previous prime is 15934634895989. The next prime is 15934634896069. The reversal of 15934634896041 is 14069843643951.

It is a happy number.

The square root of 15934634896041 is 3991821.

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

15934634896041 is a `hidden beast` number, since 1 + 5 + 9 + 3 + 463 + 48 + 96 + 0 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1575112851225 + 14359522044816 = 1255035^2 + 3789396^2 .

It is not a de Polignac number, because 15934634896041 - 211 = 15934634893993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 15934634896041.

It is not an unprimeable number, because it can be changed into a prime (15934634896841) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5903901910 + ... + 5903904608.

Almost surely, 215934634896041 is an apocalyptic number.

15934634896041 is the 3991821-st square number.

15934634896041 is the 1995911-st centered octagonal number.

It is an amenable number.

15934634896041 is a deficient number, since it is larger than the sum of its proper divisors (9397196635420).

15934634896041 is an frugal number, since it uses more digits than its factorization.

15934634896041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 15934634896041 in words is "fifteen trillion, nine hundred thirty-four billion, six hundred thirty-four million, eight hundred ninety-six thousand, forty-one".

Divisors: 1 3 9 17 29 51 87 153 261 289 493 841 867 1479 2523 2601 2699 4437 7569 8097 8381 14297 24291 25143 42891 45883 75429 78271 128673 137649 234813 243049 412947 704439 729147 780011 1330607 2187441 2269859 2340033 3991821 6809577 7020099 7284601 11975463 20428731 21853803 22620319 38587603 65561409 67860957 115762809 123838217 203582871 211253429 347288427 371514651 633760287 655989251 1114543953 1901280861 1967967753 2105249689 3591308293 5903903259 6126349441 6315749067 10773924879 18379048323 18947247201 32321774637 55137144969 61052240981 104147940497 183156722943 312443821491 549470168829 937331464473 1770514988449 5311544965347 15934634896041