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135252002424 = 23371126653483
BaseRepresentation
bin111110111110110100…
…1011100011001111000
3110221002221111121112010
41331331221130121320
54203444003034144
6142044531445520
712525446023530
oct1757551343170
9427087447463
10135252002424
11523a6258300
12222677568a0
13c9a5cc7386
146790c084c0
1537b8e975b9
hex1f7da5c678

135252002424 has 96 divisors (see below), whose sum is σ = 424758418560. Its totient is φ = 35130384960.

The previous prime is 135252002383. The next prime is 135252002443. The reversal of 135252002424 is 424200252531.

It is a junction number, because it is equal to n+sod(n) for n = 135252002391 and 135252002400.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3306414 + ... + 3347069.

It is an arithmetic number, because the mean of its divisors is an integer number (4424566860).

Almost surely, 2135252002424 is an apocalyptic number.

135252002424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135252002424 is an abundant number, since it is smaller than the sum of its proper divisors (289506416136).

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

135252002424 is a wasteful number, since it uses less digits than its factorization.

135252002424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6653521 (or 6653506 counting only the distinct ones).

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

Adding to 135252002424 its reverse (424200252531), we get a palindrome (559452254955).

The spelling of 135252002424 in words is "one hundred thirty-five billion, two hundred fifty-two million, two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 5082 6776 10164 20328 6653483 13306966 19960449 26613932 39920898 46574381 53227864 73188313 79841796 93148762 139723143 146376626 159683592 186297524 219564939 279446286 292753252 372595048 439129878 512318191 558892572 585506504 805071443 878259756 1024636382 1117785144 1536954573 1610142886 1756519512 2049272764 2415214329 3073909146 3220285772 4098545528 4830428658 5635500101 6147818292 6440571544 9660857316 11271000202 12295636584 16906500303 19321714632 22542000404 33813000606 45084000808 67626001212 135252002424