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85820037141468 = 22376871148692637
BaseRepresentation
bin10011100000110110001000…
…110101000001001111011100
3102020212022111221112010210110
4103200312020311001033130
542222033414002011333
6502305103015010020
724035202344432550
oct2340661065011734
9366768457463713
1085820037141468
1125388089708343
1297605b8969910
1338b6a44183176
1417299d7895860
159dc5995a3063
hex4e0d88d413dc

85820037141468 has 48 divisors (see below), whose sum is σ = 228886741067264. Its totient is φ = 24516441823680.

The previous prime is 85820037141457. The next prime is 85820037141469. The reversal of 85820037141468 is 86414173002858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85820037141469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73769155 + ... + 74923482.

Almost surely, 285820037141468 is an apocalyptic number.

It is an amenable number.

85820037141468 is an abundant number, since it is smaller than the sum of its proper divisors (143066703925796).

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

85820037141468 is a wasteful number, since it uses less digits than its factorization.

85820037141468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148699522 (or 148699520 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 85820037141468 in words is "eighty-five trillion, eight hundred twenty billion, thirty-seven million, one hundred forty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 6871 13742 20613 27484 41226 48097 82452 96194 144291 192388 288582 577164 148692637 297385274 446077911 594770548 892155822 1040848459 1784311644 2081696918 3122545377 4163393836 6245090754 12490181508 1021667108827 2043334217654 3065001326481 4086668435308 6130002652962 7151669761789 12260005305924 14303339523578 21455009285367 28606679047156 42910018570734 85820037141468