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2452450542542 = 2711213397280513
BaseRepresentation
bin100011101100000001011…
…100011000001111001110
322200110012111100211222122
4203230001130120033032
5310140104314330132
65114350142212542
7342120003442520
oct43540134301716
98613174324878
102452450542542
1186609543a100
12337374884152
1314a35a5463b0
14869b09dba10
1543bd9477912
hex23b017183ce

2452450542542 has 96 divisors (see below), whose sum is σ = 4989172633536. Its totient is φ = 879775395840.

The previous prime is 2452450542541. The next prime is 2452450542569.

2452450542542 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24524505425422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2452450542493 and 2452450542502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452450542541) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8602478 + ... + 8882990.

It is an arithmetic number, because the mean of its divisors is an integer number (51970548266).

Almost surely, 22452450542542 is an apocalyptic number.

2452450542542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2452450542542 is an abundant number, since it is smaller than the sum of its proper divisors (2536722090994).

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

2452450542542 is a wasteful number, since it uses less digits than its factorization.

2452450542542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280954 (or 280943 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 44.

It can be divided in two parts, 2452450 and 542542, that added together give a palindrome (2994992).

The spelling of 2452450542542 in words is "two trillion, four hundred fifty-two billion, four hundred fifty million, five hundred forty-two thousand, five hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 397 794 847 1001 1573 1694 2002 2779 3146 4367 5161 5558 8734 10322 11011 22022 30569 36127 48037 56771 61138 72254 96074 113542 280513 336259 397397 561026 624481 672518 794794 1248962 1963591 3085643 3646669 3927182 4371367 6171286 7293338 8742734 21599501 25526683 33942073 40113359 43199002 51053366 67884146 80226718 111363661 222727322 237594511 280793513 441246949 475189022 561587026 779545627 882493898 1225000271 1447727593 1559091254 2450000542 2895455186 3088728643 6177457286 8575001897 10134093151 13475002981 15925003523 17150003794 20268186302 26950005962 31850007046 94325020867 111475024661 175175038753 188650041734 222950049322 350350077506 1226225271271 2452450542542