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11625848720 = 245145323109
BaseRepresentation
bin10101101001111010…
…00101111110010000
31010000020002022021122
422310331011332100
5142302204124340
65201342141412
7561046040453
oct126475057620
933006068248
1011625848720
114a26541242
122305581868
1311337a3835
147c406549a
154809b5db5
hex2b4f45f90

11625848720 has 20 divisors (see below), whose sum is σ = 27030098460. Its totient is φ = 4650339456.

The previous prime is 11625848719. The next prime is 11625848723. The reversal of 11625848720 is 2784852611.

It can be written as a sum of positive squares in 2 ways, for example, as 5769313936 + 5856534784 = 75956^2 + 76528^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (11625848723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72661475 + ... + 72661634.

It is an arithmetic number, because the mean of its divisors is an integer number (1351504923).

Almost surely, 211625848720 is an apocalyptic number.

11625848720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11625848720 is an abundant number, since it is smaller than the sum of its proper divisors (15404249740).

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

11625848720 is a wasteful number, since it uses less digits than its factorization.

11625848720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145323122 (or 145323116 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 11625848720 in words is "eleven billion, six hundred twenty-five million, eight hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 145323109 290646218 581292436 726615545 1162584872 1453231090 2325169744 2906462180 5812924360 11625848720