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2505230325052 = 22713291979119923
BaseRepresentation
bin100100011101001011010…
…111010001010100111100
322212111102210211121100021
4210131023113101110330
5312021202430400202
65154515324141524
7345665641260460
oct44351327212474
98774383747307
102505230325052
1188650a230974
123456446978a4
1315231c184c30
148937a5ac4a0
1545277db1a37
hex2474b5d153c

2505230325052 has 96 divisors (see below), whose sum is σ = 5584812710400. Its totient is φ = 956413446912.

The previous prime is 2505230325001. The next prime is 2505230325083.

2505230325052 is nontrivially palindromic in base 10.

2505230325052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2505230324999 and 2505230325017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20830363 + ... + 20950285.

It is an arithmetic number, because the mean of its divisors is an integer number (58175132400).

Almost surely, 22505230325052 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 2505230325052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792406355200).

2505230325052 is an abundant number, since it is smaller than the sum of its proper divisors (3079582385348).

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

2505230325052 is a wasteful number, since it uses less digits than its factorization.

2505230325052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121955 (or 121953 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 34.

The spelling of 2505230325052 in words is "two trillion, five hundred five billion, two hundred thirty million, three hundred twenty-five thousand, fifty-two".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 364 377 406 754 812 1508 1979 2639 3958 5278 7916 10556 13853 25727 27706 51454 55412 57391 102908 114782 119923 180089 229564 239846 360178 401737 479692 720356 746083 803474 839461 1492166 1558999 1606948 1678922 2984332 3117998 3357844 3477767 5222581 6235996 6955534 10445162 10912993 13911068 20890324 21825986 24344369 43651972 45210971 48688738 90421942 97377476 180843884 237327617 316476797 474655234 632953594 949310468 1265907188 1661293319 3085259021 3322586638 6170518042 6645173276 6882500893 12341036084 13765001786 21596813147 27530003572 43193626294 48177506251 86387252588 89472511609 96355012502 178945023218 192710025004 357890046436 626307581263 1252615162526 2505230325052