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2120453544 = 2331125731253
BaseRepresentation
bin111111001100011…
…1000110110101000
312110210000012102110
41332120320312220
513320314003134
6550224402320
7103355362206
oct17630706650
95423005373
102120453544
11998a39150
124b21763a0
1327a3cc851
14161892076
15c62577e9
hex7e638da8

2120453544 has 64 divisors (see below), whose sum is σ = 5805743040. Its totient is φ = 640040960.

The previous prime is 2120453527. The next prime is 2120453549. The reversal of 2120453544 is 4453540212.

It is not an unprimeable number, because it can be changed into a prime (2120453549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52222 + ... + 83474.

It is an arithmetic number, because the mean of its divisors is an integer number (90714735).

Almost surely, 22120453544 is an apocalyptic number.

2120453544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120453544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902871520).

2120453544 is an abundant number, since it is smaller than the sum of its proper divisors (3685289496).

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

2120453544 is a wasteful number, since it uses less digits than its factorization.

2120453544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31530 (or 31526 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2120453544 is about 46048.3826426075. The cubic root of 2120453544 is about 1284.7232607685.

Adding to 2120453544 its reverse (4453540212), we get a palindrome (6573993756).

The spelling of 2120453544 in words is "two billion, one hundred twenty million, four hundred fifty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 257 264 514 771 1028 1542 2056 2827 3084 5654 6168 8481 11308 16962 22616 31253 33924 62506 67848 93759 125012 187518 250024 343783 375036 687566 750072 1031349 1375132 2062698 2750264 4125396 8032021 8250792 16064042 24096063 32128084 48192126 64256168 88352231 96384252 176704462 192768504 265056693 353408924 530113386 706817848 1060226772 2120453544