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2125553652 = 2232374138921
BaseRepresentation
bin111111010110001…
…0101111111110100
312111010121022110100
41332230111333310
513323120204102
6550525554100
7103446623265
oct17654257764
95433538410
102125553652
119a0901a12
124b3a15930
1327b497071
1416241c96c
15c6913a1c
hex7eb15ff4

2125553652 has 72 divisors (see below), whose sum is σ = 5652875592. Its totient is φ = 672537600.

The previous prime is 2125553621. The next prime is 2125553663. The reversal of 2125553652 is 2563555212.

2125553652 is a `hidden beast` number, since 21 + 2 + 55 + 536 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5503716 + 2120049936 = 2346^2 + 46044^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35152 + ... + 74072.

It is an arithmetic number, because the mean of its divisors is an integer number (78512161).

Almost surely, 22125553652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125553652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826437796).

2125553652 is an abundant number, since it is smaller than the sum of its proper divisors (3527321940).

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

2125553652 is a wasteful number, since it uses less digits than its factorization.

2125553652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39009 (or 39004 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 2125553652 is about 46103.7270944552. The cubic root of 2125553652 is about 1285.7524401587.

The spelling of 2125553652 in words is "two billion, one hundred twenty-five million, five hundred fifty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 111 123 148 164 222 246 333 369 444 492 666 738 1332 1476 1517 3034 4551 6068 9102 13653 18204 27306 38921 54612 77842 116763 155684 233526 350289 467052 700578 1401156 1440077 1595761 2880154 3191522 4320231 4787283 5760308 6383044 8640462 9574566 12960693 14361849 17280924 19149132 25921386 28723698 51842772 57447396 59043157 118086314 177129471 236172628 354258942 531388413 708517884 1062776826 2125553652