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47226504465 = 312572539
BaseRepresentation
bin101011111110111010…
…110100010100010001
311111220022000000000000
4223332322310110101
51233204441120330
633410123520213
73261213443640
oct537672642421
9144808000000
1047226504465
1119035148888
1291a0089069
1345b82926ca
142400249357
151366143560
hexafeeb4511

47226504465 has 104 divisors (see below), whose sum is σ = 97189869120. Its totient is φ = 21580756128.

The previous prime is 47226504449. The next prime is 47226504473. The reversal of 47226504465 is 56440562274.

It is not a de Polignac number, because 47226504465 - 24 = 47226504449 is a prime.

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 47226504465.

It is an unprimeable number.

It is a polite number, since it can be written in 103 ways as a sum of consecutive naturals, for example, 18599166 + ... + 18601704.

Almost surely, 247226504465 is an apocalyptic number.

47226504465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47226504465 is an abundant number, since it is smaller than the sum of its proper divisors (49963364655).

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

47226504465 is an frugal number, since it uses more digits than its factorization.

47226504465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 47226504465 in words is "forty-seven billion, two hundred twenty-six million, five hundred four thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 729 945 1215 1701 2187 2539 2835 3645 5103 6561 7617 8505 10935 12695 15309 17773 19683 22851 25515 32805 38085 45927 53319 59049 68553 76545 88865 98415 114255 137781 159957 177147 205659 229635 266595 295245 342765 413343 479871 531441 616977 688905 799785 885735 1028295 1240029 1439613 1850931 2066715 2399355 2657205 3084885 3720087 4318839 5552793 6200145 7198065 9254655 12956517 16658379 18600435 21594195 27763965 38869551 49975137 64782585 83291895 116608653 149925411 194347755 249875685 349825959 449776233 583043265 749627055 1049477877 1349328699 1749129795 2248881165 3148433631 5247389385 6746643495 9445300893 15742168155 47226504465