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30605355252 = 223560152391
BaseRepresentation
bin11100100000001110…
…001010100011110100
32220222221101010200000
4130200032022203310
51000134432332002
622020534551300
72132300140653
oct344016124364
986887333600
1030605355252
1111a85a1a42a
125b21808530
132b69917384
1416a49c719a
15be1d5361c
hex72038a8f4

30605355252 has 72 divisors (see below), whose sum is σ = 80363879232. Its totient is φ = 10184616000.

The previous prime is 30605355229. The next prime is 30605355257. The reversal of 30605355252 is 25255350603.

30605355252 is a `hidden beast` number, since 3 + 0 + 6 + 0 + 53 + 552 + 52 = 666.

It is a super-2 number, since 2×306053552522 (a number of 22 digits) contains 22 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 (30605355257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 557977 + ... + 610367.

Almost surely, 230605355252 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 30605355252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40181939616).

30605355252 is an abundant number, since it is smaller than the sum of its proper divisors (49758523980).

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

30605355252 is a wasteful number, since it uses less digits than its factorization.

30605355252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53011 (or 52997 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 30605355252 in words is "thirty billion, six hundred five million, three hundred fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 601 972 1202 1803 2404 3606 5409 7212 10818 16227 21636 32454 48681 52391 64908 97362 104782 146043 157173 194724 209564 292086 314346 471519 584172 628692 943038 1414557 1886076 2829114 4243671 5658228 8487342 12731013 16974684 25462026 31486991 50924052 62973982 94460973 125947964 188921946 283382919 377843892 566765838 850148757 1133531676 1700297514 2550446271 3400595028 5100892542 7651338813 10201785084 15302677626 30605355252