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5274865152 = 293542397
BaseRepresentation
bin1001110100110100…
…00000111000000000
3111121121120220200000
410322122000320000
541300331141102
62231230400000
7244500420414
oct47232007000
914547526600
105274865152
112267584297
121032660000
13660a98cab
143807b0d44
1520d14d01c
hex13a680e00

5274865152 has 120 divisors (see below), whose sum is σ = 15787828056. Its totient is φ = 1758246912.

The previous prime is 5274865147. The next prime is 5274865153. The reversal of 5274865152 is 2515684725.

5274865152 is a `hidden beast` number, since 52 + 7 + 4 + 86 + 515 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5274865098 and 5274865107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5274865153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103218 + ... + 145614.

Almost surely, 25274865152 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 5274865152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893914028).

5274865152 is an abundant number, since it is smaller than the sum of its proper divisors (10512962904).

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

5274865152 is an frugal number, since it uses more digits than its factorization.

5274865152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42430 (or 42402 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 5274865152 is about 72628.2668938203. The cubic root of 5274865152 is about 1740.7528727690.

The spelling of 5274865152 in words is "five billion, two hundred seventy-four million, eight hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3888 4608 5184 6912 7776 10368 13824 15552 20736 31104 41472 42397 62208 84794 124416 127191 169588 254382 339176 381573 508764 678352 763146 1017528 1144719 1356704 1526292 2035056 2289438 2713408 3052584 3434157 4070112 4578876 5426816 6105168 6868314 8140224 9157752 10302471 10853632 12210336 13736628 16280448 18315504 20604942 21707264 24420672 27473256 32560896 36631008 41209884 48841344 54946512 65121792 73262016 82419768 97682688 109893024 146524032 164839536 195365376 219786048 293048064 329679072 439572096 586096128 659358144 879144192 1318716288 1758288384 2637432576 5274865152