Search a number
-
+
16332381984 = 2531797103171
BaseRepresentation
bin11110011010111110…
…00101111100100000
31120011020020222011110
433031133011330200
5231422042210414
611300351343320
71115505646002
oct171537057440
946136228143
1016332381984
116a21227356
1231b9821b40
1317038b1269
14b0d174372
15658c9e459
hex3cd7c5f20

16332381984 has 96 divisors (see below), whose sum is σ = 45862842816. Its totient is φ = 5071011840.

The previous prime is 16332381959. The next prime is 16332381997. The reversal of 16332381984 is 48918323361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106719 + ... + 209889.

It is an arithmetic number, because the mean of its divisors is an integer number (477737946).

Almost surely, 216332381984 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 16332381984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22931421408).

16332381984 is an abundant number, since it is smaller than the sum of its proper divisors (29530460832).

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

16332381984 is a wasteful number, since it uses less digits than its factorization.

16332381984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103298 (or 103290 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The spelling of 16332381984 in words is "sixteen billion, three hundred thirty-two million, three hundred eighty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 97 102 136 194 204 272 291 388 408 544 582 776 816 1164 1552 1632 1649 2328 3104 3298 4656 4947 6596 9312 9894 13192 19788 26384 39576 52768 79152 103171 158304 206342 309513 412684 619026 825368 1238052 1650736 1753907 2476104 3301472 3507814 4952208 5261721 7015628 9904416 10007587 10523442 14031256 20015174 21046884 28062512 30022761 40030348 42093768 56125024 60045522 80060696 84187536 120091044 160121392 168375072 170128979 240182088 320242784 340257958 480364176 510386937 680515916 960728352 1020773874 1361031832 2041547748 2722063664 4083095496 5444127328 8166190992 16332381984