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20642407785 = 32519229431019
BaseRepresentation
bin10011001110011000…
…100010010101101001
31222021121022222001200
4103032120202111221
5314233424022120
613252154234413
71330352366616
oct231630422551
958247288050
1020642407785
11883311254a
124001125a09
131c3c800c9c
14ddb74b50d
1580c363e90
hex4ce622569

20642407785 has 144 divisors (see below), whose sum is σ = 40012315200. Its totient is φ = 9826354944.

The previous prime is 20642407771. The next prime is 20642407787. The reversal of 20642407785 is 58770424602.

It is a happy number.

It is not a de Polignac number, because 20642407785 - 24 = 20642407769 is a prime.

It is a super-2 number, since 2×206424077852 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20642407785.

It is not an unprimeable number, because it can be changed into a prime (20642407787) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20257006 + ... + 20258024.

It is an arithmetic number, because the mean of its divisors is an integer number (277863300).

Almost surely, 220642407785 is an apocalyptic number.

It is an amenable number.

20642407785 is a deficient number, since it is larger than the sum of its proper divisors (19369907415).

20642407785 is a wasteful number, since it uses less digits than its factorization.

20642407785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 20642407785 in words is "twenty billion, six hundred forty-two million, four hundred seven thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 15 19 29 43 45 57 87 95 129 145 171 215 261 285 361 387 435 551 645 817 855 1019 1083 1247 1305 1653 1805 1935 2451 2755 3057 3249 3741 4085 4959 5095 5415 6235 7353 8265 9171 10469 11223 12255 15285 15523 16245 18705 19361 23693 24795 29551 31407 36765 43817 45855 46569 52345 56115 58083 71079 77615 88653 94221 96805 118465 131451 139707 147755 157035 174249 213237 219085 232845 265959 290415 355395 367859 394353 443265 450167 471105 561469 657255 698535 832523 871245 1066185 1103577 1270693 1329795 1350501 1684407 1839295 1971765 2250835 2497569 2807345 3310731 3812079 4051503 4162615 5053221 5517885 6353465 6752505 7492707 8422035 10667911 11436237 12487845 15817937 16553655 19060395 20257515 24143167 25266105 32003733 37463535 47453811 53339555 57181185 72429501 79089685 96011199 120715835 142361433 160018665 217288503 237269055 362147505 458720173 480055995 711807165 1086442515 1376160519 2293600865 4128481557 6880802595 20642407785