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450345010034496 = 26319313394408429
BaseRepresentation
bin110011001100101100001111…
…0010110010111011101000000
32012001112120012001200001211110
41212121120132112113131000
5433011423040032100441
64233445350322443320
7163600232112306363
oct14631303626273500
92161476161601743
10450345010034496
111205482787700a5
1242613a68803540
1316439476ab4c25
147d2cb59ab60da
15370e791bbdb16
hex199961e597740

450345010034496 has 112 divisors (see below), whose sum is σ = 1258257549723200. Its totient is φ = 141759854825472.

The previous prime is 450345010034429. The next prime is 450345010034503. The reversal of 450345010034496 is 694430010543054.

It is a super-2 number, since 2×4503450100344962 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 196062391 + ... + 198346038.

Almost surely, 2450345010034496 is an apocalyptic number.

It is an amenable number.

450345010034496 is an abundant number, since it is smaller than the sum of its proper divisors (807912539688704).

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

450345010034496 is a wasteful number, since it uses less digits than its factorization.

450345010034496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394408776 (or 394408766 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 450345010034496 in words is "four hundred fifty trillion, three hundred forty-five billion, ten million, thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 313 456 608 626 912 939 1216 1252 1824 1878 2504 3648 3756 5008 5947 7512 10016 11894 15024 17841 20032 23788 30048 35682 47576 60096 71364 95152 142728 190304 285456 380608 570912 1141824 394408429 788816858 1183225287 1577633716 2366450574 3155267432 4732901148 6310534864 7493760151 9465802296 12621069728 14987520302 18931604592 22481280453 25242139456 29975040604 37863209184 44962560906 59950081208 75726418368 89925121812 119900162416 123449838277 179850243624 239800324832 246899676554 359700487248 370349514831 479600649664 493799353108 719400974496 740699029662 987598706216 1438801948992 1481398059324 1975197412432 2345546927263 2962796118648 3950394824864 4691093854526 5925592237296 7036640781789 7900789649728 9382187709052 11851184474592 14073281563578 18764375418104 23702368949184 28146563127156 37528750836208 56293126254312 75057501672416 112586252508624 150115003344832 225172505017248 450345010034496