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641624000452036 = 227258721559258677
BaseRepresentation
bin1001000111100011011011101…
…0101000000101010111000100
310010010210122200210011221202221
42101320312322220011113010
51133044331423103431121
610152341555134342124
7252101542603363300
oct22170667250052704
93103718623157687
10641624000452036
11176494235174328
125bb6704365a944
1321702b64424414
14b462aa574ad00
154e2a1a554db41
hex2478dbaa055c4

641624000452036 has 72 divisors (see below), whose sum is σ = 1308454040900160. Its totient is φ = 274499467526592.

The previous prime is 641624000451997. The next prime is 641624000452069. The reversal of 641624000452036 is 630254000426146.

It is a junction number, because it is equal to n+sod(n) for n = 641624000451983 and 641624000452001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2480276730 + ... + 2480535406.

It is an arithmetic number, because the mean of its divisors is an integer number (18172972790280).

Almost surely, 2641624000452036 is an apocalyptic number.

It is an amenable number.

641624000452036 is an abundant number, since it is smaller than the sum of its proper divisors (666830040448124).

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

641624000452036 is a wasteful number, since it uses less digits than its factorization.

641624000452036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280841 (or 280832 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 641624000452036 in words is "six hundred forty-one trillion, six hundred twenty-four billion, four hundred fifty-two thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 587 1174 2348 4109 8218 16436 21559 28763 43118 57526 86236 115052 150913 258677 301826 517354 603652 1034708 1056391 1810739 2112782 3621478 4225564 7242956 12655133 12675173 25310266 25350346 50620532 50700692 88585931 151843399 177171862 303686798 354343724 607373596 620101517 1062903793 1240203034 2125807586 2480406068 4251615172 5576817443 7440326551 11153634886 14880653102 22307269772 29761306204 39037722101 78075444202 156150888404 273264054707 546528109414 1093056218828 3273591839041 6547183678082 13094367356164 22915142873287 45830285746574 91660571493148 160406000113009 320812000226018 641624000452036