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642066315444 = 2232103565330631
BaseRepresentation
bin10010101011111100010…
…00100111100010110100
32021101021201001021220100
421111332020213202310
541004422434043234
61210543341234100
764250000430051
oct11257610474264
92241251037810
10642066315444
11228331772a54
12a452a862930
1348714b35818
142310d050028
1511a7ce66399
hex957e2278b4

642066315444 has 72 divisors (see below), whose sum is σ = 1639101656192. Its totient is φ = 211899810240.

The previous prime is 642066315439. The next prime is 642066315491. The reversal of 642066315444 is 444513660246.

642066315444 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 6 + 631 + 5 + 4 + 4 + 4 = 666.

642066315444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6420663154442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 642066315444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20946009 + ... + 20976639.

Almost surely, 2642066315444 is an apocalyptic number.

It is an amenable number.

642066315444 is an abundant number, since it is smaller than the sum of its proper divisors (997035340748).

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

642066315444 is a wasteful number, since it uses less digits than its factorization.

642066315444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36397 (or 36392 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 642066315444 in words is "six hundred forty-two billion, sixty-six million, three hundred fifteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 5653 11306 16959 22612 30631 33918 50877 61262 67836 91893 101754 122524 183786 203508 275679 367572 551358 582259 1102716 1164518 1746777 2329036 3154993 3493554 5240331 6309986 6987108 9464979 10480662 12619972 18929958 20961324 28394937 37859916 56789874 113579748 173157043 346314086 519471129 692628172 1038942258 1558413387 2077884516 3116826774 6233653548 17835175429 35670350858 53505526287 71340701716 107011052574 160516578861 214022105148 321033157722 642066315444