Search a number
-
+
217457148756 = 223379217921943
BaseRepresentation
bin1100101010000101110…
…1001100001101010100
3202210021221222201121110
43022201131030031110
512030323012230011
6243522021215020
721465535160301
oct3124135141524
9683257881543
10217457148756
118424a989471
1236189b61470
1317676c430b3
14a74c7a00a8
1559cad4cba6
hex32a174c354

217457148756 has 48 divisors (see below), whose sum is σ = 508995468800. Its totient is φ = 72257990112.

The previous prime is 217457148749. The next prime is 217457148757. The reversal of 217457148756 is 657841754712.

It is a super-2 number, since 2×2174571487562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 217457148696 and 217457148705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217457148757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9899121 + ... + 9921063.

Almost surely, 2217457148756 is an apocalyptic number.

It is an amenable number.

217457148756 is an abundant number, since it is smaller than the sum of its proper divisors (291538320044).

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

217457148756 is a wasteful number, since it uses less digits than its factorization.

217457148756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24508 (or 24506 counting only the distinct ones).

The product of its digits is 13171200, while the sum is 57.

The spelling of 217457148756 in words is "two hundred seventeen billion, four hundred fifty-seven million, one hundred forty-eight thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 379 758 1137 1516 2179 2274 4358 4548 6537 8716 13074 21943 26148 43886 65829 87772 131658 263316 825841 1651682 2477523 3303364 4955046 8316397 9910092 16632794 24949191 33265588 47813797 49898382 95627594 99796764 143441391 191255188 286882782 573765564 18121429063 36242858126 54364287189 72485716252 108728574378 217457148756