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3640610459940 = 2235471733744949
BaseRepresentation
bin110100111110100101010…
…010110001000100100100
3110220001001101212110001020
4310332211102301010210
5434121432234204230
611424250124531140
7524011502215356
oct64764522610444
913801041773036
103640610459940
111183a7976a963
124a96a90b0ab0
13205400b5b55c
14c82c68550d6
1564a79980810
hex34fa54b1124

3640610459940 has 96 divisors (see below), whose sum is σ = 10416617971200. Its totient is φ = 949623952896.

The previous prime is 3640610459929. The next prime is 3640610459957. The reversal of 3640610459940 is 499540160463.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4514586 + ... + 5259534.

It is an arithmetic number, because the mean of its divisors is an integer number (108506437200).

Almost surely, 23640610459940 is an apocalyptic number.

3640610459940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640610459940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208308985600).

3640610459940 is an abundant number, since it is smaller than the sum of its proper divisors (6776007511260).

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

3640610459940 is a wasteful number, since it uses less digits than its factorization.

3640610459940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746741 (or 746739 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 3640610459940 in words is "three trillion, six hundred forty billion, six hundred ten million, four hundred fifty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 1733 2820 3466 5199 6932 8665 10398 17330 20796 25995 34660 51990 81451 103980 162902 244353 325804 407255 488706 744949 814510 977412 1221765 1489898 1629020 2234847 2443530 2979796 3724745 4469694 4887060 7449490 8939388 11174235 14898980 22348470 35012603 44696940 70025206 105037809 140050412 175063015 210075618 350126030 420151236 525189045 700252060 1050378090 1290996617 2100756180 2581993234 3872989851 5163986468 6454983085 7745979702 12909966170 15491959404 19364949255 25819932340 38729898510 60676840999 77459797020 121353681998 182030522997 242707363996 303384204995 364061045994 606768409990 728122091988 910152614985 1213536819980 1820305229970 3640610459940