Search a number
-
+
11077614173025 = 325247247212
BaseRepresentation
bin1010000100110011010101…
…0000011111101101100001
31110020000020222102011222100
42201030311100133231201
52422443423212014100
635320552524401013
72222221414601211
oct241146520375541
943200228364870
1011077614173025
113590a98453964
1212aaaba6a6169
136247cb19331a
142a4233500241
1514324a4a1400
hexa133541fb61

11077614173025 has 81 divisors (see below), whose sum is σ = 20276668820473. Its totient is φ = 5781132652800.

The previous prime is 11077614172997. The next prime is 11077614173089. The reversal of 11077614173025 is 52037141677011.

The square root of 11077614173025 is 3328305.

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

11077614173025 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 7 + 614 + 1 + 7 + 3 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113277345489 + 10964336827536 = 336567^2 + 3311244^2 .

It is not a de Polignac number, because 11077614173025 - 27 = 11077614172897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2346452665 + ... + 2346457385.

Almost surely, 211077614173025 is an apocalyptic number.

11077614173025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11077614173025 is the 3328305-th square number.

11077614173025 is the 1664153-rd centered octagonal number.

It is an amenable number.

11077614173025 is a deficient number, since it is larger than the sum of its proper divisors (9199054647448).

11077614173025 is an frugal number, since it uses more digits than its factorization.

11077614173025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9552 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 11077614173025 in words is "eleven trillion, seventy-seven billion, six hundred fourteen million, one hundred seventy-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 141 225 235 423 705 1175 2115 2209 3525 4721 6627 10575 11045 14163 19881 23605 33135 42489 55225 70815 99405 118025 165675 212445 221887 354075 497025 665661 1062225 1109435 1996983 3328305 5547175 9984915 10428689 16641525 22287841 31286067 49924575 52143445 66863523 93858201 111439205 156430335 200590569 260717225 334317615 469291005 557196025 782151675 1002952845 1047528527 1671588075 2346455025 3142585581 5014764225 5237642635 9427756743 15712927905 26188213175 47138783715 49233840769 78564639525 147701522307 235693918575 246169203845 443104566921 738507611535 1230846019225 2215522834605 3692538057675 11077614173025