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420517867420 = 225723791653109
BaseRepresentation
bin1100001111010001101…
…00010110111110011100
31111012102121120000210101
412013220310112332130
523342210033224140
6521103325150444
742244552616320
oct6075064267634
91435377500711
10420517867420
11152382411922
12695ba6bb424
13308683b58b1
14164d3171980
15ae12d5b99a
hex61e8d16f9c

420517867420 has 96 divisors (see below), whose sum is σ = 1066454323200. Its totient is φ = 136163199744.

The previous prime is 420517867409. The next prime is 420517867423. The reversal of 420517867420 is 24768715024.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420517867423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572175 + ... + 1080934.

It is an arithmetic number, because the mean of its divisors is an integer number (11108899200).

Almost surely, 2420517867420 is an apocalyptic number.

It is an amenable number.

420517867420 is an abundant number, since it is smaller than the sum of its proper divisors (645936455780).

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

420517867420 is a wasteful number, since it uses less digits than its factorization.

420517867420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653227 (or 1653225 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 420517867420 in words is "four hundred twenty billion, five hundred seventeen million, eight hundred sixty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 79 92 115 140 158 161 230 316 322 395 460 553 644 790 805 1106 1580 1610 1817 2212 2765 3220 3634 5530 7268 9085 11060 12719 18170 25438 36340 50876 63595 127190 254380 1653109 3306218 6612436 8265545 11571763 16531090 23143526 33062180 38021507 46287052 57858815 76043014 115717630 130595611 152086028 190107535 231435260 261191222 266150549 380215070 522382444 532301098 652978055 760430140 914169277 1064602196 1305956110 1330752745 1828338554 2611912220 2661505490 3003699053 3656677108 4570846385 5323010980 6007398106 9141692770 12014796212 15018495265 18283385540 21025893371 30036990530 42051786742 60073981060 84103573484 105129466855 210258933710 420517867420