Search a number
-
+
149424603615 = 3257775761153
BaseRepresentation
bin1000101100101001100…
…1101000000111011111
3112021200122202100102100
42023022121220013133
54422010144303430
6152351131500143
713536611113530
oct2131231500737
9467618670370
10149424603615
1158409325351
1224b61bb7653
13111242b9521
1473371b0687
153d48321960
hex22ca6681df

149424603615 has 48 divisors (see below), whose sum is σ = 296046024768. Its totient is φ = 68298467328.

The previous prime is 149424603611. The next prime is 149424603617. The reversal of 149424603615 is 516306424941.

149424603615 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 24 + 6 + 0 + 3 + 615 = 666.

149424603615 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 149424603615 - 22 = 149424603611 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149424603611) 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 47 ways as a sum of consecutive naturals, for example, 2412879 + ... + 2474031.

It is an arithmetic number, because the mean of its divisors is an integer number (6167625516).

Almost surely, 2149424603615 is an apocalyptic number.

149424603615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

149424603615 is a deficient number, since it is larger than the sum of its proper divisors (146621421153).

149424603615 is a wasteful number, since it uses less digits than its factorization.

149424603615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68928 (or 68925 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 149424603615 in words is "one hundred forty-nine billion, four hundred twenty-four million, six hundred three thousand, six hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 7757 23271 38785 54299 61153 69813 116355 162897 183459 271495 305765 349065 428071 488691 550377 814485 917295 1284213 2140355 2443455 2751885 3852639 6421065 19263195 474363821 1423091463 2371819105 3320546747 4269274389 7115457315 9961640241 16602733735 21346371945 29884920723 49808201205 149424603615