Search a number
-
+
325134264820 = 225411733228797
BaseRepresentation
bin1001011101100111000…
…00110010100111110100
31011002020011110222021011
410232303200302213310
520311333332433240
6405210431402004
732330062436341
oct4566340624764
91132204428234
10325134264820
111159858a8492
125301a983304
1324877114b61
1411a452797c8
1586ce0536ea
hex4bb38329f4

325134264820 has 48 divisors (see below), whose sum is σ = 699841831248. Its totient is φ = 126807895040.

The previous prime is 325134264803. The next prime is 325134264857. The reversal of 325134264820 is 28462431523.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11126452324 + 314007812496 = 105482^2 + 560364^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306662 + ... + 1535458.

It is an arithmetic number, because the mean of its divisors is an integer number (14580038151).

Almost surely, 2325134264820 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 325134264820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349920915624).

325134264820 is an abundant number, since it is smaller than the sum of its proper divisors (374707566428).

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

325134264820 is a wasteful number, since it uses less digits than its factorization.

325134264820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230580 (or 230578 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 325134264820 in words is "three hundred twenty-five billion, one hundred thirty-four million, two hundred sixty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1733 3466 6932 8665 17330 34660 71053 142106 228797 284212 355265 457594 710530 915188 1143985 1421060 2287970 4575940 9380677 18761354 37522708 46903385 93806770 187613540 396505201 793010402 1586020804 1982526005 3965052010 7930104020 16256713241 32513426482 65026852964 81283566205 162567132410 325134264820