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382249716544 = 2622951072
BaseRepresentation
bin1011000111111111101…
…10111100101101000000
31100112122122021112200001
411203333312330231000
522230321411412134
6451334134005344
736421334660323
oct5437766745500
91315578245601
10382249716544
11138124aaa753
12620ba7a6854
132a07a081437
14147029ba7ba
159e2341a414
hex58ffdbcb40

382249716544 has 42 divisors (see below), whose sum is σ = 761988329970. Its totient is φ = 190252991232.

The previous prime is 382249716533. The next prime is 382249716593. The reversal of 382249716544 is 445617942283.

It can be written as a sum of positive squares in only one way, i.e., 375572865600 + 6676850944 = 612840^2 + 81712^2 .

It is a super-2 number, since 2×3822497165442 (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 (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74845639 + ... + 74850745.

It is an arithmetic number, because the mean of its divisors is an integer number (18142579285).

Almost surely, 2382249716544 is an apocalyptic number.

It is an amenable number.

382249716544 is a deficient number, since it is larger than the sum of its proper divisors (379738613426).

382249716544 is an frugal number, since it uses more digits than its factorization.

382249716544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10455 (or 5338 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 55.

The spelling of 382249716544 in words is "three hundred eighty-two billion, two hundred forty-nine million, seven hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 229 458 916 1832 3664 5107 7328 10214 14656 20428 40856 81712 163424 326848 1169503 2339006 4678012 9356024 18712048 26081449 37424096 52162898 74848192 104325796 208651592 417303184 834606368 1669212736 5972651821 11945303642 23890607284 47781214568 95562429136 191124858272 382249716544