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949968869949 = 321116757458953
BaseRepresentation
bin11011101001011101000…
…11101001101000111101
310100211000222000200110100
431310232203221220331
5111031014012314244
62004224253431313
7125430054110061
oct15645643515075
93324028020410
10949968869949
11336974730430
1213413a79b539
136b773c49688
1433d9b931aa1
1519a9e2c2b69
hexdd2e8e9a3d

949968869949 has 24 divisors (see below), whose sum is σ = 1505884266432. Its totient is φ = 572291161920.

The previous prime is 949968869909. The next prime is 949968869959.

949968869949 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 949968869949 - 28 = 949968869693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949968869909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28712944 + ... + 28746009.

It is an arithmetic number, because the mean of its divisors is an integer number (62745177768).

Almost surely, 2949968869949 is an apocalyptic number.

949968869949 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

949968869949 is a deficient number, since it is larger than the sum of its proper divisors (555915396483).

949968869949 is a wasteful number, since it uses less digits than its factorization.

949968869949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57459137 (or 57459134 counting only the distinct ones).

The product of its digits is 19591041024, while the sum is 90.

The spelling of 949968869949 in words is "nine hundred forty-nine billion, nine hundred sixty-eight million, eight hundred sixty-nine thousand, nine hundred forty-nine".

Divisors: 1 3 9 11 33 99 167 501 1503 1837 5511 16533 57458953 172376859 517130577 632048483 1896145449 5688436347 9595645151 28786935453 86360806359 105552096661 316656289983 949968869949