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382682334464 = 2823241269683
BaseRepresentation
bin1011001000110011010…
…01010000010100000000
31100120202210022210212222
411210121221100110000
522232213134200324
6451445110310212
736435140113133
oct5443151202400
91316683283788
10382682334464
11138327223a21
12621bb658368
132a1188a3481
141474423221a
159e4b3c355e
hex5919a50500

382682334464 has 72 divisors (see below), whose sum is σ = 800391907392. Its totient is φ = 182261882880.

The previous prime is 382682334449. The next prime is 382682334499. The reversal of 382682334464 is 464433286283.

It is a super-2 number, since 2×3826823344642 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1284167 + ... + 1553849.

Almost surely, 2382682334464 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 382682334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400195953696).

382682334464 is an abundant number, since it is smaller than the sum of its proper divisors (417709572928).

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

382682334464 is a wasteful number, since it uses less digits than its factorization.

382682334464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269963 (or 269949 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 53.

It can be divided in two parts, 38268 and 2334464, that added together give a palindrome (2372732).

The spelling of 382682334464 in words is "three hundred eighty-two billion, six hundred eighty-two million, three hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 241 256 368 482 736 964 1472 1928 2944 3856 5543 5888 7712 11086 15424 22172 30848 44344 61696 88688 177376 269683 354752 539366 709504 1078732 1419008 2157464 4314928 6202709 8629856 12405418 17259712 24810836 34519424 49621672 64993603 69038848 99243344 129987206 198486688 259974412 396973376 519948824 793946752 1039897648 1494852869 1587893504 2079795296 2989705738 4159590592 5979411476 8319181184 11958822952 16638362368 23917645904 47835291808 95670583616 191341167232 382682334464