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2125110848 = 2674919661
BaseRepresentation
bin111111010101010…
…1001111001000000
312111002202211001012
41332222221321000
513323012021343
6550512300052
7103443100310
oct17652517100
95432684035
102125110848
119a062a263
124b3841628
1327b370653
14162345440
15c6877718
hex7eaa9e40

2125110848 has 56 divisors (see below), whose sum is σ = 4829763264. Its totient is φ = 908812800.

The previous prime is 2125110847. The next prime is 2125110859. The reversal of 2125110848 is 8480115212.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×21251108482 = 9032192232574558208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2125110847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215138 + ... + 224798.

Almost surely, 22125110848 is an apocalyptic number.

2125110848 is a gapful number since it is divisible by the number (28) 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 2125110848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414881632).

2125110848 is an abundant number, since it is smaller than the sum of its proper divisors (2704652416).

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

2125110848 is an equidigital number, since it uses as much as digits as its factorization.

2125110848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10171 (or 10161 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 2125110848 is about 46098.9245861549. The cubic root of 2125110848 is about 1285.6631495617.

The spelling of 2125110848 in words is "two billion, one hundred twenty-five million, one hundred ten thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 491 982 1964 3437 3928 6874 7856 9661 13748 15712 19322 27496 31424 38644 54992 67627 77288 109984 135254 154576 219968 270508 309152 541016 618304 1082032 2164064 4328128 4743551 9487102 18974204 33204857 37948408 66409714 75896816 132819428 151793632 265638856 303587264 531277712 1062555424 2125110848