Search a number
-
+
30084672948 = 223111771188827
BaseRepresentation
bin11100000001001011…
…111010110110110100
32212122122121201211020
4130001023322312310
5443103134013243
621453134541140
72113345333521
oct340113726664
985578551736
1030084672948
1111839017080
1259b73677b0
132ab5aa0435
1416557aa148
15bb12a2283
hex7012fadb4

30084672948 has 96 divisors (see below), whose sum is σ = 82226285568. Its totient is φ = 8459404800.

The previous prime is 30084672907. The next prime is 30084672983. The reversal of 30084672948 is 84927648003.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 30084672948.

It is a congruent number.

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, 64911 + ... + 253737.

It is an arithmetic number, because the mean of its divisors is an integer number (856523808).

Almost surely, 230084672948 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 30084672948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41113142784).

30084672948 is an abundant number, since it is smaller than the sum of its proper divisors (52141612620).

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

30084672948 is a wasteful number, since it uses less digits than its factorization.

30084672948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188933 (or 188931 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 30084672948 in words is "thirty billion, eighty-four million, six hundred seventy-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 71 102 132 142 187 204 213 284 374 426 561 748 781 852 1122 1207 1562 2244 2343 2414 3124 3621 4686 4828 7242 9372 13277 14484 26554 39831 53108 79662 159324 188827 377654 566481 755308 1132962 2077097 2265924 3210059 4154194 6231291 6420118 8308388 9630177 12462582 12840236 13406717 19260354 24925164 26813434 35310649 38520708 40220151 53626868 70621298 80440302 105931947 141242596 147473887 160880604 211863894 227914189 294947774 423727788 442421661 455828378 589895548 683742567 884843322 911656756 1367485134 1769686644 2507056079 2734970268 5014112158 7521168237 10028224316 15042336474 30084672948