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420607868706024 = 2336710115737164569
BaseRepresentation
bin101111110100010100110011…
…0100110101001110011101000
32001011020201102112221100201020
41133220221212212221303220
5420112214403342043044
64050320330513052440
7154410626041502166
oct13750514646516350
92034221375840636
10420607868706024
1111202288272955a
123b210758257120
13150901c875264c
1475c175abd8236
153395e98a45a19
hex17e8a669a9ce8

420607868706024 has 128 divisors (see below), whose sum is σ = 1077855506985600. Its totient is φ = 136733100134400.

The previous prime is 420607868706017. The next prime is 420607868706049.

420607868706024 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2555732412 + ... + 2555896980.

It is an arithmetic number, because the mean of its divisors is an integer number (8420746148325).

Almost surely, 2420607868706024 is an apocalyptic number.

It is an amenable number.

420607868706024 is an abundant number, since it is smaller than the sum of its proper divisors (657247638279576).

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

420607868706024 is a wasteful number, since it uses less digits than its factorization.

420607868706024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180483 (or 180479 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 60.

The spelling of 420607868706024 in words is "four hundred twenty trillion, six hundred seven billion, eight hundred sixty-eight million, seven hundred six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 67 101 134 201 202 268 303 402 404 536 606 804 808 1212 1608 2424 6767 13534 15737 20301 27068 31474 40602 47211 54136 62948 81204 94422 125896 162408 164569 188844 329138 377688 493707 658276 987414 1054379 1316552 1589437 1974828 2108758 3163137 3178874 3949656 4217516 4768311 6326274 6357748 8435032 9536622 11026123 12652548 12715496 16621469 19073244 22052246 25305096 33078369 33242938 38146488 44104492 49864407 66156738 66485876 88208984 99728814 106492279 132313476 132971752 199457628 212984558 264626952 319476837 398915256 425969116 638953674 851938232 1113638423 1277907348 2227276846 2555814696 2589822353 3340915269 4454553692 5179644706 6681830538 7769467059 8909107384 10359289412 13363661076 15538934118 20718578824 26727322152 31077868236 62155736472 173518097651 261572057653 347036195302 520554292953 523144115306 694072390604 784716172959 1041108585906 1046288230612 1388144781208 1569432345918 2082217171812 2092576461224 3138864691836 4164434343624 6277729383672 17525327862751 35050655725502 52575983588253 70101311451004 105151967176506 140202622902008 210303934353012 420607868706024