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468191496432 = 2431112717214057
BaseRepresentation
bin1101101000000100110…
…00110100100011110000
31122202111001220022100210
412310002120310203300
530132324010341212
6555030104344120
745553136025342
oct6640230644360
91582431808323
10468191496432
11170616991a20
12768a4475040
13351c51a922a
141893692b292
15c2a337153c
hex6d026348f0

468191496432 has 160 divisors (see below), whose sum is σ = 1330938814464. Its totient is φ = 140642611200.

The previous prime is 468191496419. The next prime is 468191496463. The reversal of 468191496432 is 234694191864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115401348 + ... + 115405404.

Almost surely, 2468191496432 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 468191496432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665469407232).

468191496432 is an abundant number, since it is smaller than the sum of its proper divisors (862747318032).

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

468191496432 is a wasteful number, since it uses less digits than its factorization.

468191496432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5927 (or 5921 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The spelling of 468191496432 in words is "four hundred sixty-eight billion, one hundred ninety-one million, four hundred ninety-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 127 132 176 254 264 381 508 528 762 1016 1397 1524 1721 2032 2794 3048 3442 4057 4191 5163 5588 6096 6884 8114 8382 10326 11176 12171 13768 16228 16764 18931 20652 22352 24342 27536 32456 33528 37862 41304 44627 48684 56793 64912 67056 75724 82608 89254 97368 113586 133881 151448 178508 194736 218567 227172 267762 302896 357016 437134 454344 515239 535524 655701 714032 874268 908688 1030478 1071048 1311402 1545717 1748536 2060956 2142096 2404237 2622804 3091434 3497072 4121912 4808474 5245608 5667629 6182868 6982097 7212711 8243824 9616948 10491216 11335258 12365736 13964194 14425422 17002887 19233896 20946291 22670516 24731472 27928388 28850844 34005774 38467792 41892582 45341032 55856776 57701688 68011548 76803067 83785164 90682064 111713552 115403376 136023096 153606134 167570328 230409201 272046192 307212268 335140656 460818402 614424536 886726319 921636804 1228849072 1773452638 1843273608 2660178957 3546905276 3686547216 5320357914 7093810552 9753989509 10640715828 14187621104 19507979018 21281431656 29261968527 39015958036 42562863312 58523937054 78031916072 117047874108 156063832144 234095748216 468191496432