Search a number
-
+
12953440992 = 253134931677
BaseRepresentation
bin11000001000001010…
…11101001011100000
31020102202011222111210
430010011131023200
5203012040102432
65541205110120
7635666301042
oct140405351340
936382158453
1012953440992
115547974a38
1226160b8340
1312b584c8ab
148ac4c9a92
1550c3068cc
hex30415d2e0

12953440992 has 24 divisors (see below), whose sum is σ = 34002782856. Its totient is φ = 4317813632.

The previous prime is 12953440967. The next prime is 12953440993. The reversal of 12953440992 is 29904435921.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953440993) 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 3 ways as a sum of consecutive naturals, for example, 67465743 + ... + 67465934.

It is an arithmetic number, because the mean of its divisors is an integer number (1416782619).

Almost surely, 212953440992 is an apocalyptic number.

12953440992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12953440992 is an abundant number, since it is smaller than the sum of its proper divisors (21049341864).

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

12953440992 is a wasteful number, since it uses less digits than its factorization.

12953440992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134931690 (or 134931682 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 12953440992 in words is "twelve billion, nine hundred fifty-three million, four hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 134931677 269863354 404795031 539726708 809590062 1079453416 1619180124 2158906832 3238360248 4317813664 6476720496 12953440992