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20434625442 = 23271121340327
BaseRepresentation
bin10011000001111111…
…111010001110100010
31221202010100112021100
4103001333322032202
5313322231003232
613215412535230
71322250310320
oct230177721642
957663315240
1020434625442
1187368a4600
123b63621516
131c0875065a
14dbbd00d10
157e8ebdc7c
hex4c1ffa3a2

20434625442 has 72 divisors (see below), whose sum is σ = 55618250688. Its totient is φ = 5307690960.

The previous prime is 20434625441. The next prime is 20434625483. The reversal of 20434625442 is 24452643402.

20434625442 is a `hidden beast` number, since 20 + 4 + 3 + 4 + 625 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20434625397 and 20434625406.

It is not an unprimeable number, because it can be changed into a prime (20434625441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 654918 + ... + 685409.

It is an arithmetic number, because the mean of its divisors is an integer number (772475704).

Almost surely, 220434625442 is an apocalyptic number.

20434625442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20434625442 is an abundant number, since it is smaller than the sum of its proper divisors (35183625246).

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

20434625442 is a wasteful number, since it uses less digits than its factorization.

20434625442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340364 (or 1340350 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 20434625442 in words is "twenty billion, four hundred thirty-four million, six hundred twenty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 5082 7623 15246 1340327 2680654 4020981 8041962 9382289 12062943 14743597 18764578 24125886 28146867 29487194 44230791 56293734 84440601 88461582 103205179 132692373 162179567 168881202 206410358 265384746 309615537 324359134 486538701 619231074 928846611 973077402 1135256969 1459616103 1857693222 2270513938 2919232206 3405770907 6811541814 10217312721 20434625442