Search a number
-
+
30172644216 = 233211213266411
BaseRepresentation
bin11100000110011011…
…100000001101111000
32212212210011010201100
4130012123200031320
5443243144103331
621510000251400
72115464146521
oct340633401570
985783133640
1030172644216
1111883742200
125a20910b60
132acb091b40
141663349848
15bb8d7cae6
hex7066e0378

30172644216 has 144 divisors (see below), whose sum is σ = 96731533080. Its totient is φ = 8439868800.

The previous prime is 30172644211. The next prime is 30172644221. The reversal of 30172644216 is 61244627103.

30172644216 is a `hidden beast` number, since 3 + 0 + 1 + 7 + 2 + 644 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (30172644211) and next prime (30172644221).

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 (30172644211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19950 + ... + 246461.

Almost surely, 230172644216 is an apocalyptic number.

30172644216 is a gapful number since it is divisible by the number (36) 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 30172644216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48365766540).

30172644216 is an abundant number, since it is smaller than the sum of its proper divisors (66558888864).

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

30172644216 is a wasteful number, since it uses less digits than its factorization.

30172644216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266458 (or 266440 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 30172644216 in words is "thirty billion, one hundred seventy-two million, six hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 121 132 143 156 198 234 242 264 286 312 363 396 429 468 484 572 726 792 858 936 968 1089 1144 1287 1452 1573 1716 2178 2574 2904 3146 3432 4356 4719 5148 6292 8712 9438 10296 12584 14157 18876 28314 37752 56628 113256 266411 532822 799233 1065644 1598466 2131288 2397699 2930521 3196932 3463343 4795398 5861042 6393864 6926686 8791563 9590796 10390029 11722084 13853372 17583126 19181592 20780058 23444168 26374689 27706744 31170087 32235731 35166252 38096773 41560116 52749378 62340174 64471462 70332504 76193546 83120232 96707193 105498756 114290319 124680348 128942924 152387092 193414386 210997512 228580638 249360696 257885848 290121579 304774184 342870957 386828772 419064503 457161276 580243158 685741914 773657544 838129006 914322552 1160486316 1257193509 1371483828 1676258012 2320972632 2514387018 2742967656 3352516024 3771580527 5028774036 7543161054 10057548072 15086322108 30172644216