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829440428338542 = 235354131387153607
BaseRepresentation
bin1011110010010111110010011…
…0000101111110110101101110
311000202210201201120102022210110
42330211330212011332311232
51332204022444123313132
612100023401130320450
7336465044015530326
oct27445744605766556
94022721646368713
10829440428338542
1122031578a369989
127903b141289126
13297a7b872b4057
14108b71b93c6286
1565d59b05b01cc
hex2f25f2617ed6e

829440428338542 has 64 divisors (see below), whose sum is σ = 1693369647051264. Its totient is φ = 270751735762560.

The previous prime is 829440428338469. The next prime is 829440428338559. The reversal of 829440428338542 is 245833824044928.

It is a happy number.

It is a congruent number.

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, 5399679903 + ... + 5399833509.

It is an arithmetic number, because the mean of its divisors is an integer number (26458900735176).

Almost surely, 2829440428338542 is an apocalyptic number.

829440428338542 is an abundant number, since it is smaller than the sum of its proper divisors (863929218712722).

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

829440428338542 is a wasteful number, since it uses less digits than its factorization.

829440428338542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185593.

The product of its (nonzero) digits is 424673280, while the sum is 66.

The spelling of 829440428338542 in words is "eight hundred twenty-nine trillion, four hundred forty billion, four hundred twenty-eight million, three hundred thirty-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 53 106 159 318 541 1082 1623 3246 28673 31387 57346 62774 86019 94161 153607 172038 188322 307214 460821 921642 1663511 3327022 4990533 8141171 9981066 16282342 16980367 24423513 33960734 48847026 50941101 83101387 101882202 166202774 249304161 498608322 899959451 1799918902 2699878353 4404373511 4821262909 5399756706 8808747022 9642525818 13213120533 14463788727 26426241066 28927577454 255526934177 511053868354 766580802531 1533161605062 2608303233769 5216606467538 7824909701307 15649819402614 138240071389757 276480142779514 414720214169271 829440428338542