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423998664996816 = 243271332356430479
BaseRepresentation
bin110000001100111111110000…
…1110011111111011111010000
32001121020212122222101010122100
41200121333201303333133100
5421033243231214344231
64101434144145240400
7155210615115432660
oct14031774163773720
92047225588333570
10423998664996816
1111310a90784a688
123b679947033100
1315277b96b87bb0
14769b9057b21a0
1534042a1b681e6
hex1819fe1cff7d0

423998664996816 has 120 divisors (see below), whose sum is σ = 1460439846145280. Its totient is φ = 111823823731968.

The previous prime is 423998664996811. The next prime is 423998664996923. The reversal of 423998664996816 is 618699466899324.

423998664996816 is a `hidden beast` number, since 4 + 2 + 39 + 9 + 8 + 6 + 6 + 499 + 6 + 81 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423998664996811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16178202136 + ... + 16178228343.

Almost surely, 2423998664996816 is an apocalyptic number.

It is an amenable number.

423998664996816 is an abundant number, since it is smaller than the sum of its proper divisors (1036441181148464).

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

423998664996816 is a wasteful number, since it uses less digits than its factorization.

423998664996816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32356430513 (or 32356430504 counting only the distinct ones).

The product of its digits is 52242776064, while the sum is 90.

The spelling of 423998664996816 in words is "four hundred twenty-three trillion, nine hundred ninety-eight billion, six hundred sixty-four million, nine hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 32356430479 64712860958 97069291437 129425721916 194138582874 226495013353 258851443832 291207874311 388277165748 420633596227 452990026706 517702887664 582415748622 679485040059 776554331496 841267192454 905980053412 1164831497244 1261900788681 1358970080118 1553108662992 1682534384908 1811960106824 2038455120177 2329662994488 2523801577362 2717940160236 2944435173589 3365068769816 3623920213648 3785702366043 4076910240354 4659325988976 5047603154724 5435880320472 5888870347178 6730137539632 7571404732086 8153820480708 8833305520767 10095206309448 10871760640944 11777740694356 15142809464172 16307640961416 17666611041534 20190412618896 23555481388712 26499916562301 30285618928344 32615281922832 35333222083068 47110962777424 52999833124602 60571237856688 70666444166136 105999666249204 141332888332272 211999332498408 423998664996816