Search a number
-
+
330376542016 = 26471313072731
BaseRepresentation
bin1001100111010111111…
…10011111011101000000
31011120202111202020122211
410303223332133131000
520403102343321031
6411434535511504
732604016162333
oct4635376373500
91146674666584
10330376542016
11118125a43984
1254042528594
1325201210c21
1411dc15a661a
1588d93b5bb1
hex4cebf9f740

330376542016 has 112 divisors (see below), whose sum is σ = 677096082432. Its totient is φ = 159858316800.

The previous prime is 330376541987. The next prime is 330376542019. The reversal of 330376542016 is 610245673033.

It is a self number, because there is not a number n which added to its sum of digits gives 330376542016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330376542019) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 120971371 + ... + 120974101.

It is an arithmetic number, because the mean of its divisors is an integer number (6045500736).

Almost surely, 2330376542016 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 330376542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338548041216).

330376542016 is an abundant number, since it is smaller than the sum of its proper divisors (346719540416).

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

330376542016 is a wasteful number, since it uses less digits than its factorization.

330376542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 40.

The spelling of 330376542016 in words is "three hundred thirty billion, three hundred seventy-six million, five hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 131 188 262 307 376 524 614 752 1048 1228 1504 2096 2456 2731 3008 4192 4912 5462 6157 8384 9824 10924 12314 14429 19648 21848 24628 28858 40217 43696 49256 57716 80434 87392 98512 115432 128357 160868 174784 197024 230864 256714 321736 357761 394048 461728 513428 643472 715522 838417 923456 1026856 1286944 1431044 1676834 1890199 2053712 2573888 2862088 3353668 3780398 4107424 5724176 6707336 7560796 8214848 11448352 13414672 15121592 16814767 22896704 26829344 30243184 33629534 39405599 53658688 60486368 67259068 78811198 109832627 120972736 134518136 157622396 219665254 269036272 315244792 439330508 538072544 630489584 878661016 1076145088 1260979168 1757322032 2521958336 3514644064 5162133469 7029288128 10324266938 20648533876 41297067752 82594135504 165188271008 330376542016