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42336833672 = 2373171389883
BaseRepresentation
bin100111011011011110…
…001101000010001000
311001021112012222122202
4213123132031002020
51143201212134142
631241013135332
73026101101650
oct473336150210
9131245188582
1042336833672
1116a56047841
12825662a548
133cb9252c93
142098aa7360
15117bc32032
hex9db78d088

42336833672 has 128 divisors (see below), whose sum is σ = 95319244800. Its totient is φ = 17247686400.

The previous prime is 42336833653. The next prime is 42336833719. The reversal of 42336833672 is 27633863324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47946143 + ... + 47947025.

It is an arithmetic number, because the mean of its divisors is an integer number (744681600).

Almost surely, 242336833672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42336833672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47659622400).

42336833672 is an abundant number, since it is smaller than the sum of its proper divisors (52982411128).

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

42336833672 is a wasteful number, since it uses less digits than its factorization.

42336833672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1383 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 47.

The spelling of 42336833672 in words is "forty-two billion, three hundred thirty-six million, eight hundred thirty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 71 124 142 217 248 284 389 434 497 568 778 868 883 994 1556 1736 1766 1988 2201 2723 3112 3532 3976 4402 5446 6181 7064 8804 10892 12059 12362 15407 17608 21784 24118 24724 27373 27619 30814 48236 49448 54746 55238 61628 62693 84413 96472 109492 110476 123256 125386 168826 191611 193333 218984 220952 250772 337652 343487 383222 386666 438851 501544 675304 686974 766444 773332 856189 877702 1373948 1532888 1546664 1712378 1755404 1943483 2404409 2747896 3424756 3510808 3886966 4808818 5993323 6849512 7773932 9617636 10648097 11986646 13604381 15547864 19235272 21296194 23973292 24387577 27208762 42592388 47946584 48775154 54417524 74536679 85184776 97550308 108835048 149073358 170713039 195100616 298146716 341426078 596293432 682852156 756014887 1365704312 1512029774 3024059548 5292104209 6048119096 10584208418 21168416836 42336833672