Search a number
-
+
16115206640625 = 325821412
BaseRepresentation
bin1110101010000001110100…
…1010101101001111110001
32010001121011110101112022100
43222200131022231033301
54103012420400000000
654135120154131013
73252166562216301
oct352403512551761
963047143345270
1016115206640625
11515346a031764
12198329a120a69
138cb8715b4851
143d9da17d3601
151ce2d8146a00
hexea81d2ad3f1

16115206640625 has 81 divisors (see below), whose sum is σ = 29110482654019. Its totient is φ = 8590762500000.

The previous prime is 16115206640591. The next prime is 16115206640653. The reversal of 16115206640625 is 52604660251161.

The square root of 16115206640625 is 4014375.

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

16115206640625 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 520 + 6 + 64 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 8078049680481 + 8037156960144 = 2842191^2 + 2834988^2 .

It is not a de Polignac number, because 16115206640625 - 223 = 16115198252017 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7526952055 + ... + 7526954195.

Almost surely, 216115206640625 is an apocalyptic number.

16115206640625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16115206640625 is the 4014375-th square number.

16115206640625 is the 2007188-th centered octagonal number.

It is an amenable number.

16115206640625 is a deficient number, since it is larger than the sum of its proper divisors (12995276013394).

16115206640625 is an frugal number, since it uses more digits than its factorization.

16115206640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

Adding to 16115206640625 its reverse (52604660251161), we get a palindrome (68719866891786).

The spelling of 16115206640625 in words is "sixteen trillion, one hundred fifteen billion, two hundred six million, six hundred forty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 2141 3125 5625 6423 9375 10705 15625 19269 28125 32115 46875 53525 78125 96345 140625 160575 234375 267625 390625 481725 703125 802875 1171875 1338125 2408625 3515625 4014375 4583881 6690625 12043125 13751643 20071875 22919405 33453125 41254929 60215625 68758215 100359375 114597025 167265625 206274645 301078125 343791075 501796875 572985125 836328125 1031373225 1505390625 1718955375 2508984375 2864925625 5156866125 7526953125 8594776875 14324628125 25784330625 42973884375 71623140625 128921653125 214869421875 358115703125 644608265625 1074347109375 1790578515625 3223041328125 5371735546875 16115206640625