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42367486336428 = 223117123747190367
BaseRepresentation
bin10011010001000011100101…
…11110010001110110101100
312120000021212222010222201110
421220201302332101312230
521023122103000231203
6230035204324512020
711631643543626531
oct1150416276216654
9176007788128643
1042367486336428
1112554a4a578610
12490312954b610
131a843103a0686
14a66850d16d88
154d711ee8ed03
hex268872f91dac

42367486336428 has 96 divisors (see below), whose sum is σ = 109368627314688. Its totient is φ = 12657206900800.

The previous prime is 42367486336339. The next prime is 42367486336459. The reversal of 42367486336428 is 82463368476324.

It is a happy number.

42367486336428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222461701 + ... + 222652067.

It is an arithmetic number, because the mean of its divisors is an integer number (1139256534528).

Almost surely, 242367486336428 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 42367486336428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54684313657344).

42367486336428 is an abundant number, since it is smaller than the sum of its proper divisors (67001140978260).

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

42367486336428 is a wasteful number, since it uses less digits than its factorization.

42367486336428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214203 (or 214201 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 66.

The spelling of 42367486336428 in words is "forty-two trillion, three hundred sixty-seven billion, four hundred eighty-six million, three hundred thirty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 4686 9372 23747 47494 71241 94988 142482 190367 261217 284964 380734 522434 571101 761468 783651 1044868 1142202 1567302 1686037 2094037 2284404 3134604 3372074 4188074 5058111 6282111 6744148 8376148 10116222 12564222 13516057 18546407 20232444 25128444 27032114 37092814 40548171 54064228 55639221 74185628 81096342 111278442 148676627 162192684 222556884 297353254 446029881 594706508 892059762 1784119524 4520645149 9041290298 13561935447 18082580596 27123870894 49727096639 54247741788 99454193278 149181289917 198908386556 298362579834 320965805579 596725159668 641931611158 962897416737 1283863222316 1925794833474 3530623861369 3851589666948 7061247722738 10591871584107 14122495445476 21183743168214 42367486336428