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2604741906 = 2313213119609
BaseRepresentation
bin1001101101000001…
…0011010100010010
320201112021121011110
42123100103110102
520313303220111
61110244354150
7121355640504
oct23320232422
96645247143
102604741906
111117344168
126083a5956
13326843400
141a9d17d74
15103a1a5a6
hex9b413512

2604741906 has 48 divisors (see below), whose sum is σ = 5684389920. Its totient is φ = 795300480.

The previous prime is 2604741871. The next prime is 2604741959. The reversal of 2604741906 is 6091474062.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123030 + ... + 142638.

It is an arithmetic number, because the mean of its divisors is an integer number (118424790).

Almost surely, 22604741906 is an apocalyptic number.

2604741906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2604741906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842194960).

2604741906 is an abundant number, since it is smaller than the sum of its proper divisors (3079648014).

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

2604741906 is a wasteful number, since it uses less digits than its factorization.

2604741906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19771 (or 19758 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2604741906 is about 51036.6721681577. The cubic root of 2604741906 is about 1375.9043141644.

The spelling of 2604741906 in words is "two billion, six hundred four million, seven hundred forty-one thousand, nine hundred six".

Divisors: 1 2 3 6 13 26 39 78 131 169 262 338 393 507 786 1014 1703 3406 5109 10218 19609 22139 39218 44278 58827 66417 117654 132834 254917 509834 764751 1529502 2568779 3313921 5137558 6627842 7706337 9941763 15412674 19883526 33394127 66788254 100182381 200364762 434123651 868247302 1302370953 2604741906