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42259654896 = 24343202910091
BaseRepresentation
bin100111010110110111…
…110010100011110000
311001002010222220021120
4213112313302203300
51143021432424041
631225215022240
73024143065644
oct472667624360
9131063886246
1042259654896
1116a16523228
12823480a980
133ca626ca74
14208c736c24
151175089366
hex9d6df28f0

42259654896 has 80 divisors (see below), whose sum is σ = 111775762560. Its totient is φ = 13750813440.

The previous prime is 42259654889. The next prime is 42259654907. The reversal of 42259654896 is 69845695224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4182811 + ... + 4192901.

It is an arithmetic number, because the mean of its divisors is an integer number (1397197032).

Almost surely, 242259654896 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 42259654896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55887881280).

42259654896 is an abundant number, since it is smaller than the sum of its proper divisors (69516107664).

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

42259654896 is a wasteful number, since it uses less digits than its factorization.

42259654896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12174 (or 12168 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 60.

The spelling of 42259654896 in words is "forty-two billion, two hundred fifty-nine million, six hundred fifty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2029 2064 4058 6087 8116 10091 12174 16232 20182 24348 30273 32464 40364 48696 60546 80728 87247 97392 121092 161456 174494 242184 261741 348988 433913 484368 523482 697976 867826 1046964 1301739 1395952 1735652 2093928 2603478 3471304 4187856 5206956 6942608 10413912 20474639 20827824 40949278 61423917 81898556 122847834 163797112 245695668 327594224 491391336 880409477 982782672 1760818954 2641228431 3521637908 5282456862 7043275816 10564913724 14086551632 21129827448 42259654896