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2553311244132 = 2233112149251889
BaseRepresentation
bin100101001001111101001…
…101011010111101100100
3100001002112122120100212000
4211021331031122331210
5313313140134303012
65232550333125300
7352320301323225
oct45117515327544
910032478510760
102553311244132
118a49426a6030
12352a22929830
13156a124700cc
148b81c0a924c
154663e029ddc
hex2527d35af64

2553311244132 has 48 divisors (see below), whose sum is σ = 7221486350400. Its totient is φ = 773730679680.

The previous prime is 2553311244131. The next prime is 2553311244157. The reversal of 2553311244132 is 2314421133552.

2553311244132 is a `hidden beast` number, since 2 + 5 + 533 + 112 + 4 + 4 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2553311244131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1074624757 + ... + 1074627132.

It is an arithmetic number, because the mean of its divisors is an integer number (150447632300).

Almost surely, 22553311244132 is an apocalyptic number.

2553311244132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2553311244132 is an abundant number, since it is smaller than the sum of its proper divisors (4668175106268).

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

2553311244132 is a wasteful number, since it uses less digits than its factorization.

2553311244132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149251913 (or 2149251905 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 2553311244132 its reverse (2314421133552), we get a palindrome (4867732377684).

The spelling of 2553311244132 in words is "two trillion, five hundred fifty-three billion, three hundred eleven million, two hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2149251889 4298503778 6447755667 8597007556 12895511334 19343267001 23641770779 25791022668 38686534002 47283541558 58029801003 70925312337 77373068004 94567083116 116059602006 141850624674 212775937011 232119204012 283701249348 425551874022 638327811033 851103748044 1276655622066 2553311244132