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38190899025 = 32528913812
BaseRepresentation
bin100011100100010110…
…101101111101010001
310122120120220200111200
4203210112231331101
51111203332232100
625313351301413
72521256166636
oct434426557521
9118516820450
1038190899025
1115218848774
12749a07a869
1337a8326c06
141bc420618d
15ed7c81e00
hex8e45adf51

38190899025 has 54 divisors (see below), whose sum is σ = 69222854610. Its totient is φ = 20125036800.

The previous prime is 38190899017. The next prime is 38190899059. The reversal of 38190899025 is 52099809183.

It can be written as a sum of positive squares in 9 ways, for example, as 17595491904 + 20595407121 = 132648^2 + 143511^2 .

It is not a de Polignac number, because 38190899025 - 23 = 38190899017 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27653835 + ... + 27655215.

It is an arithmetic number, because the mean of its divisors is an integer number (1281904715).

Almost surely, 238190899025 is an apocalyptic number.

It is an amenable number.

38190899025 is a deficient number, since it is larger than the sum of its proper divisors (31031955585).

38190899025 is an equidigital number, since it uses as much as digits as its factorization.

38190899025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 38190899025 in words is "thirty-eight billion, one hundred ninety million, eight hundred ninety-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 89 225 267 445 801 1335 1381 2225 4005 4143 6675 6905 12429 20025 20715 34525 62145 103575 122909 310725 368727 614545 1106181 1843635 1907161 3072725 5530905 5721483 9218175 9535805 17164449 27654525 28607415 47679025 85822245 143037075 169737329 429111225 509211987 848686645 1527635961 2546059935 4243433225 7638179805 12730299675 38190899025