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5253184980 = 22325193149549
BaseRepresentation
bin1001110010001110…
…10011110111010100
3111120002210110001200
410321013103313110
541224303404410
62225133552500
7244115223051
oct47107236724
914502713050
105253184980
11225631669a
121027345730
13659447ba4
1437b96a028
1520b2b93c0
hex1391d3dd4

5253184980 has 144 divisors (see below), whose sum is σ = 17314752000. Its totient is φ = 1284284160.

The previous prime is 5253184969. The next prime is 5253185017. The reversal of 5253184980 is 894813525.

5253184980 is a `hidden beast` number, since 525 + 3 + 1 + 8 + 49 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81246 + ... + 130794.

Almost surely, 25253184980 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 5253184980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8657376000).

5253184980 is an abundant number, since it is smaller than the sum of its proper divisors (12061567020).

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

5253184980 is a wasteful number, since it uses less digits than its factorization.

5253184980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49614 (or 49609 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5253184980 is about 72478.8588486325. The cubic root of 5253184980 is about 1738.3647141034.

The spelling of 5253184980 in words is "five billion, two hundred fifty-three million, one hundred eighty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 31 36 38 45 57 60 62 76 90 93 95 114 124 155 171 180 186 190 228 279 285 310 342 372 380 465 558 570 589 620 684 855 930 1116 1140 1178 1395 1710 1767 1860 2356 2790 2945 3420 3534 5301 5580 5890 7068 8835 10602 11780 17670 21204 26505 35340 49549 53010 99098 106020 148647 198196 247745 297294 445941 495490 594588 743235 891882 941431 990980 1486470 1536019 1783764 1882862 2229705 2824293 2972940 3072038 3765724 4459410 4608057 4707155 5648586 6144076 7680095 8472879 8918820 9216114 9414310 11297172 13824171 14121465 15360190 16945758 18432228 18828620 23040285 27648342 28242930 29184361 30720380 33891516 42364395 46080570 55296684 56485860 58368722 69120855 84728790 87553083 92161140 116737444 138241710 145921805 169457580 175106166 262659249 276483420 291843610 350212332 437765415 525318498 583687220 875530830 1050636996 1313296245 1751061660 2626592490 5253184980