Search a number
-
+
380828006784 = 2733372978197
BaseRepresentation
bin1011000101010110001…
…11100011100110000000
31100101222120002012112000
411202223013203212000
522214413432204114
6450541105504000
736341162435031
oct5425307434600
91311876065460
10380828006784
11137565533105
1261982642000
1329bb1671264
1414609c56a88
159d8d6d7e09
hex58ab1e3980

380828006784 has 128 divisors (see below), whose sum is σ = 1154349544800. Its totient is φ = 123511744512.

The previous prime is 380828006777. The next prime is 380828006807. The reversal of 380828006784 is 487600828083.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 380828006784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1361227 + ... + 1616970.

Almost surely, 2380828006784 is an apocalyptic number.

It is an amenable number.

380828006784 is an abundant number, since it is smaller than the sum of its proper divisors (773521538016).

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

380828006784 is a wasteful number, since it uses less digits than its factorization.

380828006784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978257 (or 2978239 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 380828006784 in words is "three hundred eighty billion, eight hundred twenty-eight million, six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 384 432 444 576 592 666 864 888 999 1152 1184 1332 1728 1776 1998 2368 2664 3456 3552 3996 4736 5328 7104 7992 10656 14208 15984 21312 31968 42624 63936 127872 2978197 5956394 8934591 11912788 17869182 23825576 26803773 35738364 47651152 53607546 71476728 80411319 95302304 107215092 110193289 142953456 160822638 190604608 214430184 220386578 285906912 321645276 330579867 381209216 428860368 440773156 571813824 643290552 661159734 857720736 881546312 991739601 1143627648 1286581104 1322319468 1715441472 1763092624 1983479202 2573162208 2644638936 2975218803 3430882944 3526185248 3966958404 5146324416 5289277872 5950437606 7052370496 7933916808 10292648832 10578555744 11900875212 14104740992 15867833616 21157111488 23801750424 31735667232 42314222976 47603500848 63471334464 95207001696 126942668928 190414003392 380828006784