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12474179144 = 2377113922571
BaseRepresentation
bin10111001111000010…
…01101111001001000
31012012100100221211222
423213201031321020
5201021342213034
65421444541212
7621056526140
oct134741157110
935170327758
1012474179144
115321392469
1225016b1808
13123a478bbb
148649b1920
154d01d812e
hex2e784de48

12474179144 has 64 divisors (see below), whose sum is σ = 27303091200. Its totient is φ = 5232628800.

The previous prime is 12474179093. The next prime is 12474179147. The reversal of 12474179144 is 44197147421.

12474179144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with 14828912055 it forms a betrothed pair.

It is a junction number, because it is equal to n+sod(n) for n = 12474179095 and 12474179104.

It is not an unprimeable number, because it can be changed into a prime (12474179147) 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 15 ways as a sum of consecutive naturals, for example, 541379 + ... + 563949.

It is an arithmetic number, because the mean of its divisors is an integer number (426610800).

Almost surely, 212474179144 is an apocalyptic number.

12474179144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12474179144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651545600).

12474179144 is an abundant number, since it is smaller than the sum of its proper divisors (14828912056).

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

12474179144 is a wasteful number, since it uses less digits than its factorization.

12474179144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22794 (or 22790 counting only the distinct ones).

The product of its digits is 225792, while the sum is 44.

The spelling of 12474179144 in words is "twelve billion, four hundred seventy-four million, one hundred seventy-nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 71 139 142 278 284 497 556 568 973 994 1112 1946 1988 3892 3976 7784 9869 19738 22571 39476 45142 69083 78952 90284 138166 157997 180568 276332 315994 552664 631988 1263976 1602541 3137369 3205082 6274738 6410164 11217787 12549476 12820328 21961583 22435574 25098952 43923166 44871148 87846332 89742296 175692664 222753199 445506398 891012796 1559272393 1782025592 3118544786 6237089572 12474179144