Search a number
-
+
438511836554376 = 233134793361873017
BaseRepresentation
bin110001110110100101111111…
…0001111110110010010001000
32010111122022200212010020211120
41203231023332033312102020
5424434034220124220001
64152345320123555240
7161236302046304364
oct14355137617662210
92114568625106746
10438511836554376
111177a5909833922
124122264698bb20
1315a8b647a37840
147a4012c4ca2a4
1535a6a74bd8236
hex18ed2fe3f6488

438511836554376 has 128 divisors (see below), whose sum is σ = 1183426883251200. Its totient is φ = 134604819578880.

The previous prime is 438511836554357. The next prime is 438511836554401. The reversal of 438511836554376 is 673455638115834.

It is a self number, because there is not a number n which added to its sum of digits gives 438511836554376.

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, 501858220 + ... + 502731236.

It is an arithmetic number, because the mean of its divisors is an integer number (9245522525400).

Almost surely, 2438511836554376 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 438511836554376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591713441625600).

438511836554376 is an abundant number, since it is smaller than the sum of its proper divisors (744915046696824).

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

438511836554376 is a wasteful number, since it uses less digits than its factorization.

438511836554376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876879 (or 876875 counting only the distinct ones).

The product of its digits is 870912000, while the sum is 69.

The spelling of 438511836554376 in words is "four hundred thirty-eight trillion, five hundred eleven billion, eight hundred thirty-six million, five hundred fifty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 479 958 1437 1916 2874 3361 3832 5748 6227 6722 10083 11496 12454 13444 18681 20166 24908 26888 37362 40332 43693 49816 74724 80664 87386 131079 149448 174772 262158 349544 524316 873017 1048632 1609919 1746034 2619051 3219838 3492068 4829757 5238102 6439676 6984136 9659514 10476204 11349221 12879352 19319028 20928947 20952408 22698442 34047663 38638056 41857894 45396884 62786841 68095326 83715788 90793768 125573682 136190652 167431576 251147364 272381304 418175143 502294728 836350286 1254525429 1672700572 2509050858 2934210137 3345401144 5018101716 5436276859 5868420274 8802630411 10036203432 10872553718 11736840548 16308830577 17605260822 21745107436 23473681096 32617661154 35210521644 38144731781 43490214872 65235322308 70421043288 76289463562 114434195343 130470644616 152578927124 228868390686 305157854248 457736781372 915473562744 1405486655623 2810973311246 4216459966869 5621946622492 8432919933738 11243893244984 16865839867476 18271326523099 33731679734952 36542653046198 54813979569297 73085306092396 109627959138594 146170612184792 219255918277188 438511836554376