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69934462164 = 223271718190191
BaseRepresentation
bin100000100100001101…
…0110011010011010100
320200111212000202212100
41001020122303103110
52121211210242124
652043310122100
75024020056150
oct1011032632324
9220455022770
1069934462164
11277281a9576
1211678ab0330
1367969abb78
143556036060
151c449b71c9
hex10486b34d4

69934462164 has 144 divisors (see below), whose sum is σ = 215101426176. Its totient is φ = 18701798400.

The previous prime is 69934462151. The next prime is 69934462187. The reversal of 69934462164 is 46126443996.

69934462164 is a `hidden beast` number, since 6 + 9 + 9 + 3 + 4 + 4 + 621 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 69934462164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730309 + ... + 820499.

It is an arithmetic number, because the mean of its divisors is an integer number (1493759904).

Almost surely, 269934462164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69934462164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107550713088).

69934462164 is an abundant number, since it is smaller than the sum of its proper divisors (145166964012).

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

69934462164 is a wasteful number, since it uses less digits than its factorization.

69934462164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90406 (or 90401 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 69934462164 in words is "sixty-nine billion, nine hundred thirty-four million, four hundred sixty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 181 204 238 252 306 357 362 476 543 612 714 724 1071 1086 1267 1428 1629 2142 2172 2534 3077 3258 3801 4284 5068 6154 6516 7602 9231 11403 12308 15204 18462 21539 22806 27693 36924 43078 45612 55386 64617 86156 90191 110772 129234 180382 193851 258468 270573 360764 387702 541146 631337 775404 811719 1082292 1262674 1533247 1623438 1894011 2525348 3066494 3246876 3788022 4599741 5682033 6132988 7576044 9199482 10732729 11364066 13799223 16324571 18398964 21465458 22728132 27598446 32198187 32649142 42930916 48973713 55196892 64396374 65298284 96594561 97947426 114271997 128792748 146921139 193189122 195894852 228543994 277517707 293842278 342815991 386378244 457087988 555035414 587684556 685631982 832553121 1028447973 1110070828 1371263964 1665106242 1942623949 2056895946 2497659363 3330212484 3885247898 4113791892 4995318726 5827871847 7770495796 9990637452 11655743694 17483615541 23311487388 34967231082 69934462164