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5241949148736 = 26334591660757
BaseRepresentation
bin100110001000111110010…
…0001000101011001000000
3200120010101110010100211000
41030101330201011121000
51141341002440224421
615052041310252000
71050501246410256
oct114217441053100
920503343110730
105241949148736
111741109701023
12707b121b7000
132c0410217331
141419d6c545d6
159154d848226
hex4c47c845640

5241949148736 has 112 divisors (see below), whose sum is σ = 15413739738880. Its totient is φ = 1746933143040.

The previous prime is 5241949148677. The next prime is 5241949148741. The reversal of 5241949148736 is 6378419491425.

5241949148736 is a `hidden beast` number, since 5 + 2 + 419 + 4 + 9 + 148 + 73 + 6 = 666.

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, 7602870 + ... + 8263626.

It is an arithmetic number, because the mean of its divisors is an integer number (137622676240).

Almost surely, 25241949148736 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 5241949148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7706869869440).

5241949148736 is an abundant number, since it is smaller than the sum of its proper divisors (10171790590144).

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

5241949148736 is a wasteful number, since it uses less digits than its factorization.

5241949148736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665369 (or 665353 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 5241949148736 in words is "five trillion, two hundred forty-one billion, nine hundred forty-nine million, one hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 4591 9182 13773 18364 27546 36728 41319 55092 73456 82638 110184 123957 146912 165276 220368 247914 293824 330552 440736 495828 660757 661104 881472 991656 1321514 1322208 1982271 1983312 2643028 2644416 3964542 3966624 5286056 5946813 7929084 7933248 10572112 11893626 15858168 17840439 21144224 23787252 31716336 35680878 42288448 47574504 63432672 71361756 95149008 126865344 142723512 190298016 285447024 380596032 570894048 1141788096 3033535387 6067070774 9100606161 12134141548 18201212322 24268283096 27301818483 36402424644 48536566192 54603636966 72804849288 81905455449 97073132384 109207273932 145609698576 163810910898 194146264768 218414547864 291219397152 327621821796 436829095728 582438794304 655243643592 873658191456 1310487287184 1747316382912 2620974574368 5241949148736