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452505872240 = 245173251130261
BaseRepresentation
bin1101001010110110111…
…00111010011101110000
31121020222220122001002122
412211123130322131300
524403213000402430
6543513415133412
744456342310512
oct6453334723560
91536886561078
10452505872240
111649a784a344
1273847374268
13338955b52b6
1417c89631bb2
15bb86278ee5
hex695b73a770

452505872240 has 80 divisors (see below), whose sum is σ = 1062381440736. Its totient is φ = 179237760000.

The previous prime is 452505872237. The next prime is 452505872309. The reversal of 452505872240 is 42278505254.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 452505872191 and 452505872200.

It is a congruent number.

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, 3408710 + ... + 3538970.

Almost surely, 2452505872240 is an apocalyptic number.

452505872240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452505872240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531190720368).

452505872240 is an abundant number, since it is smaller than the sum of its proper divisors (609875568496).

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

452505872240 is a wasteful number, since it uses less digits than its factorization.

452505872240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130698 (or 130692 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 44.

The spelling of 452505872240 in words is "four hundred fifty-two billion, five hundred five million, eight hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 251 346 502 692 865 1004 1255 1384 1730 2008 2510 2768 3460 4016 5020 6920 10040 13840 20080 43423 86846 130261 173692 217115 260522 347384 434230 521044 651305 694768 868460 1042088 1302610 1736920 2084176 2605220 3473840 5210440 10420880 22535153 32695511 45070306 65391022 90140612 112675765 130782044 163477555 180281224 225351530 261564088 326955110 360562448 450703060 523128176 653910220 901406120 1307820440 1802812240 2615640880 5656323403 11312646806 22625293612 28281617015 45250587224 56563234030 90501174448 113126468060 226252936120 452505872240