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2120030465472 = 263215532369999
BaseRepresentation
bin11110110110011011101…
…010011010110111000000
321111200011120100021020100
4132312123222122313000
5234213310244343342
64301532322242400
7306111221425053
oct36663352326700
97450146307210
102120030465472
11748110a24087
122a2a61ab6400
13124bc1b5753a
1474877c86a9a
153a23099ee4c
hex1ed9ba9adc0

2120030465472 has 84 divisors (see below), whose sum is σ = 6080599980000. Its totient is φ = 706221484032.

The previous prime is 2120030465411. The next prime is 2120030465473. The reversal of 2120030465472 is 2745640300212.

2120030465472 is a `hidden beast` number, since 2 + 120 + 0 + 3 + 0 + 4 + 65 + 472 = 666.

It is a super-3 number, since 3×21200304654723 (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120030465473) 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 11 ways as a sum of consecutive naturals, for example, 290472 + ... + 2079527.

It is an arithmetic number, because the mean of its divisors is an integer number (72388095000).

Almost surely, 22120030465472 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 2120030465472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040299990000).

2120030465472 is an abundant number, since it is smaller than the sum of its proper divisors (3960569514528).

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

2120030465472 is a wasteful number, since it uses less digits than its factorization.

2120030465472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371570 (or 2371557 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 2120030465472 its reverse (2745640300212), we get a palindrome (4865670765684).

The spelling of 2120030465472 in words is "two trillion, one hundred twenty billion, thirty million, four hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1553 3106 4659 6212 9318 12424 13977 18636 24848 27954 37272 49696 55908 74544 99392 111816 149088 223632 298176 447264 894528 2369999 4739998 7109997 9479996 14219994 18959992 21329991 28439988 37919984 42659982 56879976 75839968 85319964 113759952 151679936 170639928 227519904 341279856 455039808 682559712 1365119424 3680608447 7361216894 11041825341 14722433788 22083650682 29444867576 33125476023 44167301364 58889735152 66250952046 88334602728 117779470304 132501904092 176669205456 235558940608 265003808184 353338410912 530007616368 706676821824 1060015232736 2120030465472