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11875550625 = 325414532
BaseRepresentation
bin10110000111101011…
…01000010110100001
31010122121221110220100
423003311220112201
5143310120110000
65242222133013
7600200341401
oct130365502641
933577843810
1011875550625
115044490a54
122375121169
131173440643
148092a4801
1549788ba00
hex2c3d685a1

11875550625 has 45 divisors (see below), whose sum is σ = 21449867439. Its totient is φ = 6329268000.

The previous prime is 11875550611. The next prime is 11875550669. The reversal of 11875550625 is 52605557811.

The square root of 11875550625 is 108975.

It is a perfect power (a square), and thus also a powerful number.

11875550625 is a `hidden beast` number, since 1 + 1 + 8 + 75 + 550 + 6 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2166995601 + 9708555024 = 46551^2 + 98532^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 11875550625 - 25 = 11875550593 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8172399 + ... + 8173851.

Almost surely, 211875550625 is an apocalyptic number.

11875550625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11875550625 is the 108975-th square number.

11875550625 is the 54488-th centered octagonal number.

It is an amenable number.

11875550625 is a deficient number, since it is larger than the sum of its proper divisors (9574316814).

11875550625 is an frugal number, since it uses more digits than its factorization.

11875550625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 45.

It can be divided in two parts, 11875 and 550625, that added together give a square (562500 = 7502).

The spelling of 11875550625 in words is "eleven billion, eight hundred seventy-five million, five hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1453 1875 4359 5625 7265 13077 21795 36325 65385 108975 181625 326925 544875 908125 1634625 2111209 2724375 6333627 8173125 10556045 19000881 31668135 52780225 95004405 158340675 263901125 475022025 791703375 1319505625 2375110125 3958516875 11875550625