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42520432032 = 2533133785651
BaseRepresentation
bin100111100110011010…
…100100110110100000
311001202022200202021000
4213212122210312200
51144040212311112
631311132232000
73033460465101
oct474632446640
9131668622230
1042520432032
111703a747a21
1282a800b600
1340182b6970
1420b521a3a8
15118cdeb7dc
hex9e66a4da0

42520432032 has 96 divisors (see below), whose sum is σ = 133557802560. Its totient is φ = 13083206400.

The previous prime is 42520431991. The next prime is 42520432037. The reversal of 42520432032 is 23023402524.

It is a happy number.

42520432032 is a `hidden beast` number, since 425 + 204 + 3 + 2 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42520431987 and 42520432005.

It is not an unprimeable number, because it can be changed into a prime (42520432037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1881594 + ... + 1904057.

It is an arithmetic number, because the mean of its divisors is an integer number (1391227110).

Almost surely, 242520432032 is an apocalyptic number.

It is an amenable number.

42520432032 is an abundant number, since it is smaller than the sum of its proper divisors (91037370528).

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

42520432032 is a wasteful number, since it uses less digits than its factorization.

42520432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785683 (or 3785669 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 42520432032 its reverse (23023402524), we get a palindrome (65543834556).

It can be divided in two parts, 42520 and 432032, that added together give a cube (474552 = 783).

The spelling of 42520432032 in words is "forty-two billion, five hundred twenty million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 3785651 7571302 11356953 15142604 22713906 30285208 34070859 45427812 49213463 60570416 68141718 90855624 98426926 102212577 121140832 136283436 147640389 181711248 196853852 204425154 272566872 295280778 363422496 393707704 408850308 442921167 545133744 590561556 787415408 817700616 885842334 1090267488 1181123112 1328763501 1574830816 1635401232 1771684668 2362246224 2657527002 3270802464 3543369336 4724492448 5315054004 7086738672 10630108008 14173477344 21260216016 42520432032