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2948505048504 = 23321391259234007
BaseRepresentation
bin101010111010000000100…
…110001001010110111000
3101102212121101102200220100
4222322000212021112320
5341302014243023004
610134305143555400
7423010463251131
oct52720046112670
911385541380810
102948505048504
11a374aa261524
123b753445bb60
13185073147ac2
14a29cbc18c88
1551a6da00739
hex2ae809895b8

2948505048504 has 96 divisors (see below), whose sum is σ = 8049407184000. Its totient is φ = 974985062976.

The previous prime is 2948505048493. The next prime is 2948505048509. The reversal of 2948505048504 is 4058405058492.

2948505048504 is a `hidden beast` number, since 2 + 9 + 4 + 8 + 50 + 504 + 85 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2948505048509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12483069 + ... + 12717075.

It is an arithmetic number, because the mean of its divisors is an integer number (83847991500).

Almost surely, 22948505048504 is an apocalyptic number.

2948505048504 is a gapful number since it is divisible by the number (24) 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 2948505048504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024703592000).

2948505048504 is an abundant number, since it is smaller than the sum of its proper divisors (5100902135496).

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

2948505048504 is a wasteful number, since it uses less digits than its factorization.

2948505048504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235417 (or 235410 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 2948505048504 in words is "two trillion, nine hundred forty-eight billion, five hundred five million, forty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1259 1668 2502 2518 3336 3777 5004 5036 7554 10008 10072 11331 15108 22662 30216 45324 90648 175001 234007 350002 468014 525003 700004 702021 936028 1050006 1400008 1404042 1575009 1872056 2100012 2106063 2808084 3150018 4200024 4212126 5616168 6300036 8424252 12600072 16848504 32526973 65053946 97580919 130107892 195161838 260215784 292742757 294614813 390323676 585485514 589229626 780647352 883844439 1170971028 1178459252 1767688878 2341942056 2356918504 2651533317 3535377756 5303066634 7070755512 10606133268 21212266536 40951459007 81902918014 122854377021 163805836028 245708754042 327611672056 368563131063 491417508084 737126262126 982835016168 1474252524252 2948505048504