Search a number
-
+
4381150467048 = 2334783917412659
BaseRepresentation
bin111111110000010000111…
…010101101001111101000
3120111211111220112120202220
4333300100322231033220
51033240044004421143
613152401151154040
7631345664344425
oct77602072551750
916454456476686
104381150467048
11143a043249963
125a911a515920
1325a1aa1cc984
14112097d34d4c
1578e6cb3bd83
hex3fc10ead3e8

4381150467048 has 128 divisors (see below), whose sum is σ = 11209895424000. Its totient is φ = 1426251329280.

The previous prime is 4381150467047. The next prime is 4381150467101. The reversal of 4381150467048 is 8407640511834.

It is not an unprimeable number, because it can be changed into a prime (4381150467047) 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 31 ways as a sum of consecutive naturals, for example, 1647667143 + ... + 1647669801.

It is an arithmetic number, because the mean of its divisors is an integer number (87577308000).

Almost surely, 24381150467048 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 4381150467048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604947712000).

4381150467048 is an abundant number, since it is smaller than the sum of its proper divisors (6828744956952).

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

4381150467048 is a wasteful number, since it uses less digits than its factorization.

4381150467048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 4381150467048 in words is "four trillion, three hundred eighty-one billion, one hundred fifty million, four hundred sixty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 839 1128 1678 1741 2517 2659 3356 3482 5034 5223 5318 6712 6964 7977 10068 10446 10636 13928 15954 20136 20892 21272 31908 39433 41784 63816 78866 81827 118299 124973 157732 163654 236598 245481 249946 315464 327308 374919 473196 490962 499892 654616 749838 946392 981924 999784 1460699 1499676 1963848 2230901 2921398 2999352 4382097 4461802 4629319 5842796 6692703 8764194 8923604 9258638 11685592 13385406 13887957 17528388 17847208 18517276 26770812 27775914 35056776 37034552 53541624 55551828 68652853 104852347 111103656 137305706 205958559 209704694 217577993 274611412 314557041 411917118 419409388 435155986 549222824 629114082 652733979 823834236 838818776 870311972 1258228164 1305467958 1647668472 1740623944 2516456328 2610935916 3883998641 5221871832 7767997282 11651995923 15535994564 23303991846 31071989128 46607983692 93215967384 182547936127 365095872254 547643808381 730191744508 1095287616762 1460383489016 2190575233524 4381150467048