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6490737696 = 253611318461
BaseRepresentation
bin1100000101110000…
…01100110000100000
3121202100110122020110
412002320030300200
5101243112101241
62552023011320
7316563234342
oct60270146040
917670418213
106490737696
112830941333
121311899b40
137c5959cc1
14458073292
1527ec71816
hex182e0cc20

6490737696 has 96 divisors (see below), whose sum is σ = 17451758016. Its totient is φ = 2111616000.

The previous prime is 6490737667. The next prime is 6490737709. The reversal of 6490737696 is 6967370946.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762906 + ... + 771366.

It is an arithmetic number, because the mean of its divisors is an integer number (181789146).

Almost surely, 26490737696 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 6490737696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8725879008).

6490737696 is an abundant number, since it is smaller than the sum of its proper divisors (10961020320).

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

6490737696 is a wasteful number, since it uses less digits than its factorization.

6490737696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8666 (or 8658 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 57.

The square root of 6490737696 is about 80565.1146340648. The cubic root of 6490737696 is about 1865.3687043774.

The spelling of 6490737696 in words is "six billion, four hundred ninety million, seven hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 131 183 244 262 366 393 488 524 732 786 976 1048 1464 1572 1952 2096 2928 3144 4192 5856 6288 7991 8461 12576 15982 16922 23973 25383 31964 33844 47946 50766 63928 67688 95892 101532 127856 135376 191784 203064 255712 270752 383568 406128 516121 767136 812256 1032242 1108391 1548363 2064484 2216782 3096726 3325173 4128968 4433564 6193452 6650346 8257936 8867128 12386904 13300692 16515872 17734256 24773808 26601384 35468512 49547616 53202768 67611851 106405536 135223702 202835553 270447404 405671106 540894808 811342212 1081789616 1622684424 2163579232 3245368848 6490737696