Search a number
-
+
1389221176284 = 2232234161670853
BaseRepresentation
bin10100001101110100000…
…010001110001111011100
311220210211012201211001200
4110031310002032033130
5140230111110120114
62542111023035500
7202240124110014
oct24156402161734
94823735654050
101389221176284
11496190156517
121a52a743bb90
13a100676c486
144b34ac70c44
152620bc0e409
hex1437408e3dc

1389221176284 has 144 divisors (see below), whose sum is σ = 3815237934144. Its totient is φ = 425051827200.

The previous prime is 1389221176283. The next prime is 1389221176289. The reversal of 1389221176284 is 4826711229831.

1389221176284 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 2 + 2 + 1 + 1 + 7 + 628 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1389221176284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1389221176283) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1735402 + ... + 2406254.

It is an arithmetic number, because the mean of its divisors is an integer number (26494707876).

Almost surely, 21389221176284 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 1389221176284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907618967072).

1389221176284 is an abundant number, since it is smaller than the sum of its proper divisors (2426016757860).

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

1389221176284 is a wasteful number, since it uses less digits than its factorization.

1389221176284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670988 (or 670983 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 1389221176284 in words is "one trillion, three hundred eighty-nine billion, two hundred twenty-one million, one hundred seventy-six thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 61 69 82 92 122 123 138 164 183 207 244 246 276 366 369 414 492 549 732 738 828 943 1098 1403 1476 1886 2196 2501 2806 2829 3772 4209 5002 5612 5658 7503 8418 8487 10004 11316 12627 15006 16836 16974 22509 25254 30012 33948 45018 50508 57523 90036 115046 172569 230092 345138 517707 670853 690276 1035414 1341706 2012559 2070828 2683412 4025118 6037677 8050236 12075354 15429619 24150708 27504973 30859238 40922033 46288857 55009946 61718476 81844066 82514919 92577714 110019892 122766099 138866571 163688132 165029838 185155428 245532198 247544757 277733142 330059676 368298297 491064396 495089514 555466284 632614379 736596594 941206759 990179028 1265228758 1473193188 1677803353 1882413518 1897843137 2530457516 2823620277 3355606706 3764827036 3795686274 5033410059 5647240554 5693529411 6711213412 7591372548 8470860831 10066820118 11294481108 11387058822 15100230177 16941721662 20133640236 22774117644 30200460354 33883443324 38589477119 60400920708 77178954238 115768431357 154357908476 231536862714 347305294071 463073725428 694610588142 1389221176284