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452030464464 = 243535922713267
BaseRepresentation
bin1101001001111110001…
…11011000000111010000
31121012202210001211020020
412210333013120013100
524401224244330324
6543354313343440
744441510360145
oct6447707300720
91535683054206
10452030464464
1116478345a457
1273734107b80
133381ac60917
1417c4243c3cc
15bb5966c679
hex693f1d81d0

452030464464 has 160 divisors (see below), whose sum is σ = 1215365783040. Its totient is φ = 144677085696.

The previous prime is 452030464433. The next prime is 452030464471. The reversal of 452030464464 is 464464030254.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34065159 + ... + 34078425.

It is an arithmetic number, because the mean of its divisors is an integer number (7596036144).

Almost surely, 2452030464464 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 452030464464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607682891520).

452030464464 is an abundant number, since it is smaller than the sum of its proper divisors (763335318576).

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

452030464464 is a wasteful number, since it uses less digits than its factorization.

452030464464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13617 (or 13611 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 452030464464 in words is "four hundred fifty-two billion, thirty million, four hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 59 106 118 159 177 212 227 236 318 354 424 454 472 636 681 708 848 908 944 1272 1362 1416 1816 2544 2724 2832 3127 3632 5448 6254 9381 10896 12031 12508 13267 13393 18762 24062 25016 26534 26786 36093 37524 39801 40179 48124 50032 53068 53572 72186 75048 79602 80358 96248 106136 107144 144372 150096 159204 160716 192496 212272 214288 288744 318408 321432 577488 636816 642864 703151 709829 782753 1406302 1419658 1565506 2109453 2129487 2348259 2812604 2839316 3011609 3131012 4218906 4258974 4696518 5625208 5678632 6023218 6262024 8437812 8517948 9034827 9393036 11250416 11357264 12046436 12524048 16875624 17035896 18069654 18786072 24092872 33751248 34071792 36139308 37572144 41485909 48185744 72278616 82971818 124457727 144557232 159615277 165943636 177684931 248915454 319230554 331887272 355369862 478845831 497830908 533054793 638461108 663774544 710739724 957691662 995661816 1066109586 1276922216 1421479448 1915383324 1991323632 2132219172 2553844432 2842958896 3830766648 4264438344 7661533296 8528876688 9417301343 18834602686 28251904029 37669205372 56503808058 75338410744 113007616116 150676821488 226015232232 452030464464