Search a number
-
+
256630300315650 = 2325219139215936977
BaseRepresentation
bin111010010110011101100101…
…111000111001000000000010
31020122122121122212120110002200
4322112131211320321000002
5232114112323340100100
62305450155445054030
7105024633035606622
oct7226354570710002
91218577585513080
10256630300315650
117485233220aa68
12249488083b7316
13b0271973428b1
144752d89562882
151ea0822ba0e00
hexe96765e39002

256630300315650 has 144 divisors (see below), whose sum is σ = 730989857925600. Its totient is φ = 64366493806080.

The previous prime is 256630300315637. The next prime is 256630300315679. The reversal of 256630300315650 is 56513003036652.

256630300315650 is a `hidden beast` number, since 2 + 5 + 6 + 630 + 3 + 0 + 0 + 3 + 1 + 5 + 6 + 5 + 0 = 666.

It is a super-2 number, since 2×2566303003156502 (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 256630300315596 and 256630300315605.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106780039 + ... + 109156938.

Almost surely, 2256630300315650 is an apocalyptic number.

256630300315650 is an abundant number, since it is smaller than the sum of its proper divisors (474359557609950).

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

256630300315650 is a wasteful number, since it uses less digits than its factorization.

256630300315650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215937153 (or 215937145 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The spelling of 256630300315650 in words is "two hundred fifty-six trillion, six hundred thirty billion, three hundred million, three hundred fifteen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 139 150 171 190 225 278 285 342 417 450 475 570 695 834 855 950 1251 1390 1425 1710 2085 2502 2641 2850 3475 4170 4275 5282 6255 6950 7923 8550 10425 12510 13205 15846 20850 23769 26410 31275 39615 47538 62550 66025 79230 118845 132050 198075 237690 396150 594225 1188450 215936977 431873954 647810931 1079684885 1295621862 1943432793 2159369770 3239054655 3886865586 4102802563 5398424425 6478109310 8205605126 9717163965 10796848850 12308407689 16195273275 19434327930 20514012815 24616815378 30015239803 32390546550 36925223067 41028025630 48585819825 60030479606 61542038445 73850446134 90045719409 97171639650 102570064075 123084076890 150076199015 180091438818 184626115335 205140128150 270137158227 300152398030 307710192225 369252230670 450228597045 540274316454 570289556257 615420384450 750380995075 900457194090 923130576675 1140579112514 1350685791135 1500761990150 1710868668771 1846261153350 2251142985225 2701371582270 2851447781285 3421737337542 4502285970450 5132606006313 5702895562570 6753428955675 8554343343855 10265212012626 13506857911350 14257238906425 17108686687710 25663030031565 28514477812850 42771716719275 51326060063130 85543433438550 128315150157825 256630300315650