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42362646132 = 22331896012129
BaseRepresentation
bin100111011101000000…
…101010111001110100
311001100022210101200210
4213131000222321310
51143224314134012
631243334305420
73026533356642
oct473500527164
9131308711623
1042362646132
1116a69678054
1282631b8270
133cc16bcc21
14209c2a6192
15117e13023c
hex9dd02ae74

42362646132 has 96 divisors (see below), whose sum is σ = 103401446400. Its totient is φ = 13483008000.

The previous prime is 42362646121. The next prime is 42362646191. The reversal of 42362646132 is 23164626324.

42362646132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×423626461322 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 19896844 + ... + 19898972.

It is an arithmetic number, because the mean of its divisors is an integer number (1077098400).

Almost surely, 242362646132 is an apocalyptic number.

It is an amenable number.

42362646132 is an abundant number, since it is smaller than the sum of its proper divisors (61038800268).

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

42362646132 is a wasteful number, since it uses less digits than its factorization.

42362646132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2855 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The spelling of 42362646132 in words is "forty-two billion, three hundred sixty-two million, six hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 62 89 93 124 178 186 267 356 372 534 601 1068 1202 1803 2129 2404 2759 3606 4258 5518 6387 7212 8277 8516 11036 12774 16554 18631 25548 33108 37262 53489 55893 65999 74524 106978 111786 131998 160467 189481 197997 213956 223572 263996 320934 378962 395994 568443 641868 757924 791988 1136886 1279529 1658159 2273772 2559058 3316318 3838587 4974477 5118116 5873911 6632636 7677174 9948954 11747822 15354348 17621733 19897908 23495644 35243466 39665399 70486932 79330798 113878081 118996197 158661596 227756162 237992394 341634243 455512324 475984788 683268486 1366536972 3530220511 7060441022 10590661533 14120882044 21181323066 42362646132