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1957316816 = 247131344311
BaseRepresentation
bin111010010101010…
…0100100011010000
312001102000222220102
41310222210203100
513002033114231
6522120031532
766334630010
oct16452444320
95042028812
101957316816
11914944104
124676025a8
13252681440
14147d47c40
15b6c80acb
hex74aa48d0

1957316816 has 40 divisors (see below), whose sum is σ = 4667451264. Its totient is φ = 774322560.

The previous prime is 1957316791. The next prime is 1957316827. The reversal of 1957316816 is 6186137591.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 670700 + ... + 673611.

Almost surely, 21957316816 is an apocalyptic number.

1957316816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1957316816 is an abundant number, since it is smaller than the sum of its proper divisors (2710134448).

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

1957316816 is a wasteful number, since it uses less digits than its factorization.

1957316816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344339 (or 1344333 counting only the distinct ones).

The product of its digits is 272160, while the sum is 47.

The square root of 1957316816 is about 44241.5733897428. The cubic root of 1957316816 is about 1250.8936150894.

The spelling of 1957316816 in words is "one billion, nine hundred fifty-seven million, three hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 1344311 2688622 5377244 9410177 10754488 17476043 18820354 21508976 34952086 37640708 69904172 75281416 122332301 139808344 150562832 244664602 279616688 489329204 978658408 1957316816