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425640431934 = 2333110310723071
BaseRepresentation
bin1100011000110100010…
…01011001000100111110
31111200122121120021021000
412030122021121010332
523433202422310214
6523311515351130
742515523655614
oct6143211310476
91450577507230
10425640431934
11154570a22413
126a5aa1524a6
13311a3758763
141685b6196b4
15b112923809
hex631a25913e

425640431934 has 128 divisors (see below), whose sum is σ = 995115663360. Its totient is φ = 134693733600.

The previous prime is 425640431921. The next prime is 425640431969. The reversal of 425640431934 is 439134046524.

425640431934 is a `hidden beast` number, since 4 + 2 + 56 + 404 + 3 + 193 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 425640431934.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18437619 + ... + 18460689.

It is an arithmetic number, because the mean of its divisors is an integer number (7774341120).

Almost surely, 2425640431934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425640431934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497557831680).

425640431934 is an abundant number, since it is smaller than the sum of its proper divisors (569475231426).

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

425640431934 is a wasteful number, since it uses less digits than its factorization.

425640431934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23323 (or 23317 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 425640431934 in words is "four hundred twenty-five billion, six hundred forty million, four hundred thirty-one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 103 107 186 206 214 279 309 321 558 618 642 837 927 963 1674 1854 1926 2781 2889 3193 3317 5562 5778 6386 6634 9579 9951 11021 19158 19902 22042 23071 28737 29853 33063 46142 57474 59706 66126 69213 86211 89559 99189 138426 172422 179118 198378 207639 297567 341651 415278 595134 622917 683302 715201 1024953 1245834 1430402 2049906 2145603 2376313 2468597 3074859 4291206 4752626 4937194 6149718 6436809 7128939 7405791 9224577 12873618 14257878 14811582 18449154 19310427 21386817 22217373 38620854 42773634 44434746 64160451 66652119 73665703 76526507 128320902 133304238 147331406 153053014 220997109 229579521 254265491 441994218 459159042 508530982 662991327 688738563 762796473 1325982654 1377477126 1525592946 1988973981 2066215689 2288389419 3977947962 4132431378 4576778838 6865168257 7882230221 13730336514 15764460442 23646690663 47293381326 70940071989 141880143978 212820215967 425640431934