Search a number
-
+
106241435064 = 23324334315709
BaseRepresentation
bin110001011110001111…
…0111010010110111000
3101011020011000002120100
41202330132322112320
53220040301410224
6120450122355400
710450522204122
oct1427436722670
9334204002510
10106241435064
114106957a6a6
121871005bb60
13a03190c59b
1451dbd5a212
152b6c163ac9
hex18bc7ba5b8

106241435064 has 48 divisors (see below), whose sum is σ = 294428791800. Its totient is φ = 34590233664.

The previous prime is 106241435059. The next prime is 106241435141. The reversal of 106241435064 is 460534142601.

106241435064 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 4 + 143 + 506 + 4 = 666.

It is a super-2 number, since 2×1062414350642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17154759 + ... + 17160950.

Almost surely, 2106241435064 is an apocalyptic number.

It is an amenable number.

106241435064 is an abundant number, since it is smaller than the sum of its proper divisors (188187356736).

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

106241435064 is a wasteful number, since it uses less digits than its factorization.

106241435064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34315764 (or 34315757 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 106241435064 its reverse (460534142601), we get a palindrome (566775577665).

The spelling of 106241435064 in words is "one hundred six billion, two hundred forty-one million, four hundred thirty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 34315709 68631418 102947127 137262836 205894254 274525672 308841381 411788508 617682762 823577016 1235365524 1475575487 2470731048 2951150974 4426726461 5902301948 8853452922 11804603896 13280179383 17706905844 26560358766 35413811688 53120717532 106241435064