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11625270540 = 22351314904193
BaseRepresentation
bin10101101001110101…
…11000110100001100
31010000011222221011120
422310322320310030
5142302032124130
65201321520540
7561041112012
oct126472706414
933004887146
1011625270540
114a26186904
122305343150
131133630610
147c3d548b2
154808ee910
hex2b4eb8d0c

11625270540 has 48 divisors (see below), whose sum is σ = 35054664288. Its totient is φ = 2861604864.

The previous prime is 11625270539. The next prime is 11625270551. The reversal of 11625270540 is 4507252611.

11625270540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 7451317 + ... + 7452876.

It is an arithmetic number, because the mean of its divisors is an integer number (730305506).

Almost surely, 211625270540 is an apocalyptic number.

11625270540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11625270540 is an abundant number, since it is smaller than the sum of its proper divisors (23429393748).

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

11625270540 is a wasteful number, since it uses less digits than its factorization.

11625270540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14904218 (or 14904216 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 11625270540 in words is "eleven billion, six hundred twenty-five million, two hundred seventy thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 14904193 29808386 44712579 59616772 74520965 89425158 149041930 178850316 193754509 223562895 298083860 387509018 447125790 581263527 775018036 894251580 968772545 1162527054 1937545090 2325054108 2906317635 3875090180 5812635270 11625270540