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252361487040 = 26351320221273
BaseRepresentation
bin1110101100000111101…
…0101011001011000000
3220010101111122211100020
43223001322223023000
513113314020041130
6311533330253440
724142516150425
oct3530172531300
9803344584306
10252361487040
1198031531433
1240aab427280
131aa4a3b1ac0
14c3002c7d4c
1568702d3e10
hex3ac1eab2c0

252361487040 has 112 divisors (see below), whose sum is σ = 862882204128. Its totient is φ = 62119747584.

The previous prime is 252361486997. The next prime is 252361487093. The reversal of 252361487040 is 40784163252.

It is a junction number, because it is equal to n+sod(n) for n = 252361486983 and 252361487001.

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, 10098157 + ... + 10123116.

It is an arithmetic number, because the mean of its divisors is an integer number (7704305394).

Almost surely, 2252361487040 is an apocalyptic number.

252361487040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252361487040 is an abundant number, since it is smaller than the sum of its proper divisors (610520717088).

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

252361487040 is a wasteful number, since it uses less digits than its factorization.

252361487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20221306 (or 20221296 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 252361487040 in words is "two hundred fifty-two billion, three hundred sixty-one million, four hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 20221273 40442546 60663819 80885092 101106365 121327638 161770184 202212730 242655276 262876549 303319095 323540368 404425460 485310552 525753098 606638190 647080736 788629647 808850920 970621104 1051506196 1213276380 1294161472 1314382745 1577259294 1617701840 1941242208 2103012392 2426552760 2628765490 3154518588 3235403680 3882484416 3943148235 4206024784 4853105520 5257530980 6309037176 6470807360 7886296470 8412049568 9706211040 10515061960 12618074352 15772592940 16824099136 19412422080 21030123920 25236148704 31545185880 42060247840 50472297408 63090371760 84120495680 126180743520 252361487040