Search a number
-
+
5723441465808 = 24311371811618613
BaseRepresentation
bin101001101001001011110…
…1100100000100111010000
3202021011012110212100222110
41103102113230200213100
51222233102003401213
620101151313505320
71130335133521443
oct123222754404720
922234173770873
105723441465808
1119073305523a0
127852a8b72240
13326944bbc721
1415b03205565a
159dd2e73d5c3
hex53497b209d0

5723441465808 has 160 divisors (see below), whose sum is σ = 16657169622912. Its totient is φ = 1678176921600.

The previous prime is 5723441465773. The next prime is 5723441465827. The reversal of 5723441465808 is 8085641443275.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2726710 + ... + 4345322.

Almost surely, 25723441465808 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 5723441465808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328584811456).

5723441465808 is an abundant number, since it is smaller than the sum of its proper divisors (10933728157104).

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

5723441465808 is a wasteful number, since it uses less digits than its factorization.

5723441465808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618853 (or 1618847 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 5723441465808 in words is "five trillion, seven hundred twenty-three billion, four hundred forty-one million, four hundred sixty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 181 222 264 296 362 407 444 528 543 592 724 814 888 1086 1221 1448 1628 1776 1991 2172 2442 2896 3256 3982 4344 4884 5973 6512 6697 7964 8688 9768 11946 13394 15928 19536 20091 23892 26788 31856 40182 47784 53576 73667 80364 95568 107152 147334 160728 221001 294668 321456 442002 589336 884004 1178672 1618613 1768008 3237226 3536016 4855839 6474452 9711678 12948904 17804743 19423356 25897808 35609486 38846712 53414229 59888681 71218972 77693424 106828458 119777362 142437944 179666043 213656916 239554724 284875888 292968953 359332086 427313832 479109448 585937906 658775491 718664172 854627664 878906859 958218896 1171875812 1317550982 1437328344 1757813718 1976326473 2343751624 2635101964 2874656688 3222658483 3515627436 3952652946 4687503248 5270203928 6445316966 7031254872 7905305892 9667975449 10540407856 10839851261 12890633932 14062509744 15810611784 19335950898 21679702522 25781267864 31621223568 32519553783 38671901796 43359405044 51562535728 65039107566 77343803592 86718810088 119238363871 130078215132 154687607184 173437620176 238476727742 260156430264 357715091613 476953455484 520312860528 715430183226 953906910968 1430860366452 1907813821936 2861720732904 5723441465808