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542242050636 = 22311132231056829
BaseRepresentation
bin1111110010000000010…
…01010001001001001100
31220211121210002020000110
413321000021101021030
532341002431110021
61053034053000020
754114156245046
oct7710011211114
91824553066013
10542242050636
11199a66557350
128910b923010
133c196865a00
141c35d496a96
15e189391476
hex7e4025124c

542242050636 has 144 divisors (see below), whose sum is σ = 1559576712960. Its totient is φ = 145081347840.

The previous prime is 542242050619. The next prime is 542242050661. The reversal of 542242050636 is 636050242245.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 542242050594 and 542242050603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15331 + ... + 1041498.

It is an arithmetic number, because the mean of its divisors is an integer number (10830393840).

Almost surely, 2542242050636 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 542242050636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779788356480).

542242050636 is an abundant number, since it is smaller than the sum of its proper divisors (1017334662324).

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

542242050636 is a wasteful number, since it uses less digits than its factorization.

542242050636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056896 (or 1056881 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 542242050636 in words is "five hundred forty-two billion, two hundred forty-two million, fifty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 132 138 143 156 169 253 276 286 299 338 429 506 507 572 598 676 759 858 897 1012 1014 1196 1518 1716 1794 1859 2028 3036 3289 3588 3718 3887 5577 6578 7436 7774 9867 11154 11661 13156 15548 19734 22308 23322 39468 42757 46644 85514 128271 171028 256542 513084 1056829 2113658 3170487 4227316 6340974 11625119 12681948 13738777 23250238 24307067 27477554 34875357 41216331 46500476 48614134 54955108 69750714 72921201 82432662 97228268 139501428 145842402 151126547 164865324 178604101 267377737 291684804 302253094 315991871 357208202 453379641 534755474 535812303 604506188 631983742 714416404 802133211 906759282 947975613 1069510948 1071624606 1263967484 1604266422 1813518564 1895951226 1964645111 2143249212 3208532844 3475910581 3791902452 3929290222 4107894323 5893935333 6951821162 7858580444 8215788646 10427731743 11787870666 12323682969 13903642324 16431577292 20855463486 23575741332 24647365938 41710926972 45186837553 49294731876 90373675106 135560512659 180747350212 271121025318 542242050636