Search a number
-
+
525325244080 = 245713699710313
BaseRepresentation
bin1111010010011111101…
…00110001011010110000
31212012221211010102001111
413221033310301122300
532101331230302310
61041155303043104
752645022620240
oct7511764613260
91765854112044
10525325244080
1119287545018a
128598a440494
133a6cbb803c0
141b5d6871b20
15d9e914e28a
hex7a4fd316b0

525325244080 has 160 divisors (see below), whose sum is σ = 1503599013504. Its totient is φ = 166216900608.

The previous prime is 525325244051. The next prime is 525325244089. The reversal of 525325244080 is 80442523525.

It is a happy number.

It is a super-2 number, since 2×5253252440802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (525325244089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50933004 + ... + 50943316.

Almost surely, 2525325244080 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 525325244080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751799506752).

525325244080 is an abundant number, since it is smaller than the sum of its proper divisors (978273769424).

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

525325244080 is a wasteful number, since it uses less digits than its factorization.

525325244080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17343 (or 17337 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 525325244080 in words is "five hundred twenty-five billion, three hundred twenty-five million, two hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 6997 7280 10313 13994 20626 27988 34985 41252 48979 51565 55976 69970 72191 82504 90961 97958 103130 111952 134069 139940 144382 165008 181922 195916 206260 244895 268138 279880 288764 360955 363844 391832 412520 454805 489790 536276 559760 577528 636727 670345 721910 727688 783664 825040 909610 938483 979580 1072552 1155056 1273454 1340690 1443820 1455376 1819220 1876966 1959160 2145104 2546908 2681380 2887640 3183635 3638440 3753932 3918320 4692415 5093816 5362760 5775280 6367270 7276880 7507864 9384830 10187632 10725520 12734540 15015728 18769660 25469080 37539320 50938160 72160061 75078640 144320122 288640244 360800305 505120427 577280488 721600610 938080793 1010240854 1154560976 1443201220 1876161586 2020481708 2525602135 2886402440 3752323172 4040963416 4690403965 5051204270 5772804880 6566565551 7504646344 8081926832 9380807930 10102408540 13133131102 15009292688 18761615860 20204817080 26266262204 32832827755 37523231720 40409634160 52532524408 65665655510 75046463440 105065048816 131331311020 262662622040 525325244080