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42374521164 = 223171977314143
BaseRepresentation
bin100111011101101101…
…111110000101001100
311001101011010201011210
4213131231332011030
51143240334134124
631244441014420
73030036326013
oct473555760514
9131334121153
1042374521164
1116a75348a28
128267184410
133cc3cba081
14209dab7a7a
1511801c8a29
hex9ddb7e14c

42374521164 has 96 divisors (see below), whose sum is σ = 110350356480. Its totient is φ = 12577102848.

The previous prime is 42374521153. The next prime is 42374521171. The reversal of 42374521164 is 46112547324.

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, 2989077 + ... + 3003219.

It is an arithmetic number, because the mean of its divisors is an integer number (1149482880).

Almost surely, 242374521164 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 42374521164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55175178240).

42374521164 is an abundant number, since it is smaller than the sum of its proper divisors (67975835316).

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

42374521164 is a wasteful number, since it uses less digits than its factorization.

42374521164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14959 (or 14957 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The spelling of 42374521164 in words is "forty-two billion, three hundred seventy-four million, five hundred twenty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 773 969 1292 1546 1938 2319 3092 3876 4638 9276 13141 14143 14687 26282 28286 29374 39423 42429 44061 52564 56572 58748 78846 84858 88122 157692 169716 176244 240431 249679 268717 480862 499358 537434 721293 749037 806151 961724 998716 1074868 1442586 1498074 1612302 2885172 2996148 3224604 4568189 9136378 10932539 13704567 18272756 21865078 27409134 32797617 43730156 54818268 65595234 131190468 185853163 207718241 371706326 415436482 557559489 623154723 743412652 830872964 1115118978 1246309446 2230237956 2492618892 3531210097 7062420194 10593630291 14124840388 21187260582 42374521164