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10424162161032 = 233231131271315891
BaseRepresentation
bin1001011110110001000001…
…1110111001000110001000
31100220112120210011120122020
42113230100132321012020
52331242141003123112
634100443300124440
72124056312255424
oct227542036710610
940815523146566
1010424162161032
113359953867644
121204332996720
135a7cc055c169
1428076429db84
15131252bb048c
hex97b107b9188

10424162161032 has 128 divisors (see below), whose sum is σ = 27650154332160. Its totient is φ = 3268291783680.

The previous prime is 10424162160949. The next prime is 10424162161043. The reversal of 10424162161032 is 23016126142401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10424162160984 and 10424162161002.

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, 7263807 + ... + 8579697.

It is an arithmetic number, because the mean of its divisors is an integer number (216016830720).

Almost surely, 210424162161032 is an apocalyptic number.

10424162161032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424162161032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825077166080).

10424162161032 is an abundant number, since it is smaller than the sum of its proper divisors (17225992171128).

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

10424162161032 is a wasteful number, since it uses less digits than its factorization.

10424162161032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316163 (or 1316159 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 10424162161032 in words is "ten trillion, four hundred twenty-four billion, one hundred sixty-two million, one hundred sixty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 113 127 138 184 226 254 276 339 381 452 508 552 678 762 904 1016 1356 1524 2599 2712 2921 3048 5198 5842 7797 8763 10396 11684 14351 15594 17526 20792 23368 28702 31188 35052 43053 57404 62376 70104 86106 114808 172212 330073 344424 660146 990219 1315891 1320292 1980438 2631782 2640584 3947673 3960876 5263564 7895346 7921752 10527128 15790692 30265493 31581384 60530986 90796479 121061972 148695683 167118157 181592958 242123944 297391366 334236314 363185916 446087049 501354471 594782732 668472628 726371832 892174098 1002708942 1189565464 1336945256 1784348196 2005417884 3420000709 3568696392 3843717611 4010835768 6840001418 7687435222 10260002127 11531152833 13680002836 15374870444 18884351741 20520004254 23062305666 27360005672 30749740888 37768703482 41040008508 46124611332 56653055223 75537406964 82080017016 92249222664 113306110446 151074813928 226612220892 434340090043 453224441784 868680180086 1303020270129 1737360360172 2606040540258 3474720720344 5212081080516 10424162161032