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1956920693 = 72134174929
BaseRepresentation
bin111010010100100…
…0011110101110101
312001101021212112012
41310221003311311
513001432430233
6522103334005
766331360100
oct16451036565
95041255465
101956920693
119146a3532
12467451305
13252573050
14147c83737
15b6c03548
hex74a43d75

1956920693 has 24 divisors (see below), whose sum is σ = 2511353880. Its totient is φ = 1510548480.

The previous prime is 1956920671. The next prime is 1956920737. The reversal of 1956920693 is 3960296591.

It can be written as a sum of positive squares in 4 ways, for example, as 106028209 + 1850892484 = 10297^2 + 43022^2 .

It is a de Polignac number, because none of the positive numbers 2k-1956920693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1956920993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11348 + ... + 63581.

It is an arithmetic number, because the mean of its divisors is an integer number (104639745).

Almost surely, 21956920693 is an apocalyptic number.

1956920693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1956920693 is a deficient number, since it is larger than the sum of its proper divisors (554433187).

1956920693 is a wasteful number, since it uses less digits than its factorization.

1956920693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74997 (or 74990 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 50.

The square root of 1956920693 is about 44237.0963445839. The cubic root of 1956920693 is about 1250.8092238524.

The spelling of 1956920693 in words is "one billion, nine hundred fifty-six million, nine hundred twenty thousand, six hundred ninety-three".

Divisors: 1 7 13 41 49 91 287 533 637 2009 3731 26117 74929 524503 974077 3072089 3671521 6818539 21504623 39937157 47729773 150532361 279560099 1956920693