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2148968625 = 35320032861
BaseRepresentation
bin1000000000010110…
…1010100010110001
312112202122220202120
42000011222202301
513400113444000
6553123504453
7104152634436
oct20005524261
95482586676
102148968625
11a03044a31
124bb828129
132832a498b
14165595b8d
15c89db6a0
hex8016a8b1

2148968625 has 32 divisors (see below), whose sum is σ = 3578919552. Its totient is φ = 1145144000.

The previous prime is 2148968593. The next prime is 2148968641. The reversal of 2148968625 is 5268698412.

It is a happy number.

It is not a de Polignac number, because 2148968625 - 25 = 2148968593 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749695 + ... + 752555.

It is an arithmetic number, because the mean of its divisors is an integer number (111841236).

Almost surely, 22148968625 is an apocalyptic number.

2148968625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2148968625 is a deficient number, since it is larger than the sum of its proper divisors (1429950927).

2148968625 is a wasteful number, since it uses less digits than its factorization.

2148968625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4872 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 2148968625 is about 46356.9695407282. The cubic root of 2148968625 is about 1290.4564666676.

The spelling of 2148968625 in words is "two billion, one hundred forty-eight million, nine hundred sixty-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 375 2003 2861 6009 8583 10015 14305 30045 42915 50075 71525 150225 214575 250375 357625 751125 1072875 5730583 17191749 28652915 85958745 143264575 429793725 716322875 2148968625