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10648950131 = 374113751239
BaseRepresentation
bin10011110101011101…
…00001010101110011
31000111010212201100102
421322232201111303
5133302112401011
64520403543015
7524614403561
oct117256412563
930433781312
1010648950131
114575066936
12209238aa6b
131009294631
1473040ca31
15424d4973b
hex27aba1573

10648950131 has 16 divisors (see below), whose sum is σ = 11285507520. Its totient is φ = 10034449920.

The previous prime is 10648950073. The next prime is 10648950139. The reversal of 10648950131 is 13105984601.

It is a de Polignac number, because none of the positive numbers 2k-10648950131 is a prime.

It is a super-2 number, since 2×106489501312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10648950139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182210 + ... + 233448.

It is an arithmetic number, because the mean of its divisors is an integer number (705344220).

Almost surely, 210648950131 is an apocalyptic number.

10648950131 is a deficient number, since it is larger than the sum of its proper divisors (636557389).

10648950131 is a wasteful number, since it uses less digits than its factorization.

10648950131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51454.

The product of its (nonzero) digits is 25920, while the sum is 38.

The spelling of 10648950131 in words is "ten billion, six hundred forty-eight million, nine hundred fifty thousand, one hundred thirty-one".

Divisors: 1 37 41 137 1517 5069 5617 51239 207829 1895843 2100799 7019743 77729563 259730491 287809463 10648950131