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664376133432 = 2331153152331177
BaseRepresentation
bin10011010101011111110…
…01110100011100111000
32100111212111220110202110
421222233321310130320
541341120242232212
61225113222132320
765666600646144
oct11525771643470
92314774813673
10664376133432
11236840009460
12a89162810a0
134a85bc1235b
1424227ddc224
1512436892a3c
hex9aafe74738

664376133432 has 128 divisors (see below), whose sum is σ = 1847393775360. Its totient is φ = 197391467520.

The previous prime is 664376133401. The next prime is 664376133451. The reversal of 664376133432 is 234331673466.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21294228 + ... + 21325404.

It is an arithmetic number, because the mean of its divisors is an integer number (14432763870).

Almost surely, 2664376133432 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 664376133432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923696887680).

664376133432 is an abundant number, since it is smaller than the sum of its proper divisors (1183017641928).

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

664376133432 is a wasteful number, since it uses less digits than its factorization.

664376133432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32773 (or 32769 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 48.

The spelling of 664376133432 in words is "six hundred sixty-four billion, three hundred seventy-six million, one hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 636 1166 1272 1523 1749 2332 3046 3498 4569 4664 6092 6996 9138 12184 13992 16753 18276 31177 33506 36552 50259 62354 67012 80719 93531 100518 124708 134024 161438 187062 201036 242157 249416 322876 342947 374124 402072 484314 645752 685894 748248 887909 968628 1028841 1371788 1652381 1775818 1937256 2057682 2663727 2743576 3304762 3551636 4115364 4957143 5327454 6609524 7103272 8230728 9914286 10654908 13219048 18176191 19828572 21309816 36352382 39657144 47482571 54528573 72704764 94965142 109057146 142447713 145409528 189930284 218114292 284895426 379860568 436228584 522308281 569790852 1044616562 1139581704 1566924843 2089233124 2516576263 3133849686 4178466248 5033152526 6267699372 7549728789 10066305052 12535398744 15099457578 20132610104 27682338893 30198915156 55364677786 60397830312 83047016679 110729355572 166094033358 221458711144 332188066716 664376133432