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2145421512 = 2333132812719
BaseRepresentation
bin111111111100000…
…1000100011001000
312112111222201001000
41333320020203020
513343211442022
6552515455000
7104110532133
oct17770104310
95474881030
102145421512
11a01041a33
124ba5b7460
132826322b0
14164d1121a
15c853a6ac
hex7fe088c8

2145421512 has 128 divisors (see below), whose sum is σ = 6443136000. Its totient is φ = 657538560.

The previous prime is 2145421483. The next prime is 2145421529. The reversal of 2145421512 is 2151245412.

It is a happy number.

2145421512 is a `hidden beast` number, since 2 + 145 + 4 + 2 + 1 + 512 = 666.

It is a super-2 number, since 2×21454215122 = 9205666928304732288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 787689 + ... + 790407.

It is an arithmetic number, because the mean of its divisors is an integer number (50337000).

Almost surely, 22145421512 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 2145421512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221568000).

2145421512 is an abundant number, since it is smaller than the sum of its proper divisors (4297714488).

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

2145421512 is a wasteful number, since it uses less digits than its factorization.

2145421512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3018 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2145421512 is about 46318.6950593386. The cubic root of 2145421512 is about 1289.7460614266.

Adding to 2145421512 its reverse (2151245412), we get a palindrome (4296666924).

The spelling of 2145421512 in words is "two billion, one hundred forty-five million, four hundred twenty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 281 312 351 468 562 702 843 936 1124 1404 1686 2248 2529 2719 2808 3372 3653 5058 5438 6744 7306 7587 8157 10116 10876 10959 14612 15174 16314 20232 21752 21918 24471 29224 30348 32628 32877 35347 43836 48942 60696 65256 65754 70694 73413 87672 97884 98631 106041 131508 141388 146826 195768 197262 212082 263016 282776 293652 318123 394524 424164 587304 636246 764039 789048 848328 954369 1272492 1528078 1908738 2292117 2544984 3056156 3817476 4584234 6112312 6876351 7634952 9168468 9932507 13752702 18336936 19865014 20629053 27505404 29797521 39730028 41258106 55010808 59595042 79460056 82516212 89392563 119190084 165032424 178785126 238380168 268177689 357570252 536355378 715140504 1072710756 2145421512