Search a number
-
+
42926428506312 = 23331345073391877
BaseRepresentation
bin10011100001010100101101…
…00001011100100011001000
312121222201121121110011121000
421300222112201130203020
521111301311144200222
6231144043511215000
712020221625654121
oct1160522641344310
9177881547404530
1042926428506312
111274aaa58906aa
12499351a077460
131ac4c38a71040
14a8591630b048
154e693551e9ac
hex270a9685c8c8

42926428506312 has 128 divisors (see below), whose sum is σ = 128440922601600. Its totient is φ = 13205197373184.

The previous prime is 42926428506307. The next prime is 42926428506361. The reversal of 42926428506312 is 21360582462924.

42926428506312 is a `hidden beast` number, since 4 + 2 + 92 + 6 + 42 + 8 + 506 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10959718 + ... + 14351594.

It is an arithmetic number, because the mean of its divisors is an integer number (1003444707825).

Almost surely, 242926428506312 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 42926428506312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64220461300800).

42926428506312 is an abundant number, since it is smaller than the sum of its proper divisors (85514494095288).

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

42926428506312 is a wasteful number, since it uses less digits than its factorization.

42926428506312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396412 (or 3396402 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 42926428506312 in words is "forty-two trillion, nine hundred twenty-six billion, four hundred twenty-eight million, five hundred six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 4507 9014 13521 18028 27042 36056 40563 54084 58591 81126 108168 117182 121689 162252 175773 234364 243378 324504 351546 468728 486756 527319 703092 973512 1054638 1406184 1581957 2109276 3163914 3391877 4218552 6327828 6783754 10175631 12655656 13567508 20351262 27135016 30526893 40702524 44094401 61053786 81405048 88188802 91580679 122107572 132283203 176377604 183161358 244215144 264566406 352755208 366322716 396849609 529132812 732645432 793699218 1058265624 1190548827 1587398436 2381097654 3174796872 4762195308 9524390616 15287189639 30574379278 45861568917 61148758556 91723137834 122297517112 137584706751 183446275668 198733465307 275169413502 366892551336 397466930614 412754120253 550338827004 596200395921 794933861228 825508240506 1100677654008 1192400791842 1589867722456 1651016481012 1788601187763 2384801583684 3302032962024 3577202375526 4769603167368 5365803563289 7154404751052 10731607126578 14308809502104 21463214253156 42926428506312