Search a number
-
+
2592243191916 = 2233723671334719
BaseRepresentation
bin100101101110001101101…
…111000001000001101100
3100011211000212220020011000
4211232031233001001230
5314432403224120131
65302505440000300
7355166126401200
oct45561557010154
910154025806130
102592243191916
1190a40077a694
1235a489000090
1315a5a81793c1
148d672892b00
154766bd8bce6
hex25b8dbc106c

2592243191916 has 144 divisors (see below), whose sum is σ = 7839184281600. Its totient is φ = 738622263456.

The previous prime is 2592243191887. The next prime is 2592243191927. The reversal of 2592243191916 is 6191913422952.

2592243191916 is a `hidden beast` number, since 2 + 592 + 2 + 4 + 31 + 9 + 1 + 9 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1274805 + ... + 2609523.

Almost surely, 22592243191916 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 2592243191916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919592140800).

2592243191916 is an abundant number, since it is smaller than the sum of its proper divisors (5246941089684).

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

2592243191916 is a wasteful number, since it uses less digits than its factorization.

2592243191916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335113 (or 1335098 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The spelling of 2592243191916 in words is "two trillion, five hundred ninety-two billion, two hundred forty-three million, one hundred ninety-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 367 378 441 588 734 756 882 1101 1323 1468 1764 2202 2569 2646 3303 4404 5138 5292 6606 7707 9909 10276 13212 15414 17983 19818 23121 30828 35966 39636 46242 53949 69363 71932 92484 107898 138726 161847 215796 277452 323694 485541 647388 971082 1334719 1942164 2669438 4004157 5338876 8008314 9343033 12012471 16016628 18686066 24024942 28029099 36037413 37372132 48049884 56058198 65401231 72074826 84087297 112116396 130802462 144149652 168174594 196203693 252261891 261604924 336349188 392407386 489841873 504523782 588611079 784814772 979683746 1009047564 1177222158 1469525619 1765833237 1959367492 2354444316 2939051238 3428893111 3531666474 4408576857 5878102476 6857786222 7063332948 8817153714 10286679333 13225730571 13715572444 17634307428 20573358666 24002251777 26451461142 30860037999 41146717332 48004503554 52902922284 61720075998 72006755331 92580113997 96009007108 123440151996 144013510662 185160227994 216020265993 288027021324 370320455988 432040531986 648060797979 864081063972 1296121595958 2592243191916