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2554426244552 = 2372134519110923
BaseRepresentation
bin100101001010111111101…
…010110011110111001000
3100001012102100122020212212
4211022333222303313020
5313322431104311202
65233253123324252
7352360030553300
oct45127752636710
910035370566785
102554426244552
118a5365026386
12353094220688
13156b5c473680
148b8c61d0600
15466a6d75652
hex252bfab3dc8

2554426244552 has 96 divisors (see below), whose sum is σ = 6001476465600. Its totient is φ = 1010309521536.

The previous prime is 2554426244533. The next prime is 2554426244609.

2554426244552 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×25544262445523 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2554426244552.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22973363 + ... + 23084285.

It is an arithmetic number, because the mean of its divisors is an integer number (62515379850).

Almost surely, 22554426244552 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 2554426244552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000738232800).

2554426244552 is an abundant number, since it is smaller than the sum of its proper divisors (3447050221048).

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

2554426244552 is a wasteful number, since it uses less digits than its factorization.

2554426244552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115475 (or 115464 counting only the distinct ones).

The product of its digits is 15360000, while the sum is 50.

The spelling of 2554426244552 in words is "two trillion, five hundred fifty-four billion, four hundred twenty-six million, two hundred forty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 4519 5096 9038 18076 31633 36152 58747 63266 110923 117494 126532 221431 221846 234988 253064 411229 442862 443692 469976 776461 822458 885724 887384 1441999 1552922 1644916 1771448 2878603 2883998 3105844 3289832 5435227 5757206 5767996 6211688 10093993 10870454 11514412 11535992 20187986 21740908 23028824 40375972 43481816 70657951 80751944 141315902 282631804 501261037 565263608 1002522074 2005044148 3508827259 4010088296 6516393481 7017654518 13032786962 14035309036 24561790813 26065573924 28070618072 45614754367 49123581626 52131147848 91229508734 98247163252 182459017468 196494326504 319303280569 364918034936 638606561138 1277213122276 2554426244552