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3157335064 = 231331710567
BaseRepresentation
bin1011110000110001…
…0001110000011000
322011001002020110201
42330030101300120
522431234210224
61241144351544
7141145622332
oct27414216030
98131066421
103157335064
111380262624
127414755b4
133b4181000
1421d480452
151372c1a44
hexbc311c18

3157335064 has 64 divisors (see below), whose sum is σ = 6790996800. Its totient is φ = 1371382272.

The previous prime is 3157335061. The next prime is 3157335079. The reversal of 3157335064 is 4605337513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3157335061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293509 + ... + 304075.

It is an arithmetic number, because the mean of its divisors is an integer number (106109325).

Almost surely, 23157335064 is an apocalyptic number.

3157335064 is a gapful number since it is divisible by the number (34) 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 3157335064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395498400).

3157335064 is an abundant number, since it is smaller than the sum of its proper divisors (3633661736).

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

3157335064 is a wasteful number, since it uses less digits than its factorization.

3157335064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10629 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 37.

The square root of 3157335064 is about 56190.1687486343. The cubic root of 3157335064 is about 1467.0341522224.

The spelling of 3157335064 in words is "three billion, one hundred fifty-seven million, three hundred thirty-five thousand, sixty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 676 884 1352 1768 2197 2873 4394 5746 8788 10567 11492 17576 21134 22984 37349 42268 74698 84536 137371 149396 179639 274742 298792 359278 549484 718556 1098968 1437112 1785823 2335307 3571646 4670614 7143292 9341228 14286584 18682456 23215699 30358991 46431398 60717982 92862796 121435964 185725592 242871928 394666883 789333766 1578667532 3157335064