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640113311046 = 231137262126663
BaseRepresentation
bin10010101000010011011…
…10011111110101000110
32021012020121010101112010
421110021232133311012
540441423001423141
61210021453435050
764150414240506
oct11241156376506
92235217111463
10640113311046
1122751a304930
12a408479ba86
1348493334211
1422da5909a06
15119b6788416
hex9509b9fd46

640113311046 has 32 divisors (see below), whose sum is σ = 1434357105408. Its totient is φ = 188731196640.

The previous prime is 640113311039. The next prime is 640113311063.

640113311046 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6401133110462 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131060890 + ... + 131065773.

It is an arithmetic number, because the mean of its divisors is an integer number (44823659544).

Almost surely, 2640113311046 is an apocalyptic number.

640113311046 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

640113311046 is an abundant number, since it is smaller than the sum of its proper divisors (794243794362).

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

640113311046 is a wasteful number, since it uses less digits than its factorization.

640113311046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262126716.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 640113 and 311046, that added together give a palindrome (951159).

The spelling of 640113311046 in words is "six hundred forty billion, one hundred thirteen million, three hundred eleven thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 262126663 524253326 786379989 1572759978 2883393293 5766786586 8650179879 9698686531 17300359758 19397373062 29096059593 58192119186 106685551841 213371103682 320056655523 640113311046