Search a number
-
+
12952591740 = 22345113123447
BaseRepresentation
bin11000001000000100…
…01101110101111100
31020102200120211120000
430010002031311330
5203011330413430
65541134554300
7635656133064
oct140402156574
936380524500
1012952591740
115547444980
122615968990
1312b561318a
148ac3483a4
1550c1d9e60
hex30408dd7c

12952591740 has 240 divisors, whose sum is σ = 45758490624. Its totient is φ = 3038601600.

The previous prime is 12952591723. The next prime is 12952591741. The reversal of 12952591740 is 4719525921.

12952591740 is a `hidden beast` number, since 1 + 2 + 9 + 52 + 591 + 7 + 4 + 0 = 666.

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 (12952591741) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 540697 + ... + 564143.

Almost surely, 212952591740 is an apocalyptic number.

12952591740 is a gapful number since it is divisible by the number (10) 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 12952591740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22879245312).

12952591740 is an abundant number, since it is smaller than the sum of its proper divisors (32805898884).

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

12952591740 is a wasteful number, since it uses less digits than its factorization.

12952591740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23510 (or 23499 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 12952591740 in words is "twelve billion, nine hundred fifty-two million, five hundred ninety-one thousand, seven hundred forty".