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42169642872 = 23371971186071
BaseRepresentation
bin100111010001100000…
…011010111101111000
311000211212121210222220
4213101200122331320
51142330412032442
631212241444040
73022001023140
oct472140327570
9130755553886
1042169642872
111697a733925
12820a640620
133c90715506
1420807c5920
15116c208eec
hex9d181af78

42169642872 has 128 divisors (see below), whose sum is σ = 128612966400. Its totient is φ = 11253513600.

The previous prime is 42169642861. The next prime is 42169642873. The reversal of 42169642872 is 27824696124.

42169642872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42169642873) 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, 133597 + ... + 319667.

It is an arithmetic number, because the mean of its divisors is an integer number (1004788800).

Almost surely, 242169642872 is an apocalyptic number.

42169642872 is a gapful number since it is divisible by the number (42) 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 42169642872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64306483200).

42169642872 is an abundant number, since it is smaller than the sum of its proper divisors (86443323528).

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

42169642872 is a wasteful number, since it uses less digits than its factorization.

42169642872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186177 (or 186173 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The spelling of 42169642872 in words is "forty-two billion, one hundred sixty-nine million, six hundred forty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 71 76 84 114 133 142 152 168 213 228 266 284 399 426 456 497 532 568 798 852 994 1064 1349 1491 1596 1704 1988 2698 2982 3192 3976 4047 5396 5964 8094 9443 10792 11928 16188 18886 28329 32376 37772 56658 75544 113316 186071 226632 372142 558213 744284 1116426 1302497 1488568 2232852 2604994 3535349 3907491 4465704 5209988 7070698 7814982 10419976 10606047 13211041 14141396 15629964 21212094 24747443 26422082 28282792 31259928 39633123 42424188 49494886 52844164 74242329 79266246 84848376 92477287 98989772 105688328 148484658 158532492 184954574 197979544 251009779 277431861 296969316 317064984 369909148 502019558 554863722 593938632 739818296 753029337 1004039116 1109727444 1506058674 1757068453 2008078232 2219454888 3012117348 3514136906 5271205359 6024234696 7028273812 10542410718 14056547624 21084821436 42169642872