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30506114808 = 23331379137519
BaseRepresentation
bin11100011010010011…
…100101111011111000
32220202000122012101000
4130122103211323320
5444434031133213
622003031525000
72126653461141
oct343223457370
986660565330
1030506114808
1111a349a7634
125ab4529760
132b521ab510
141695752ac8
15bd829dc73
hex71a4e5ef8

30506114808 has 128 divisors (see below), whose sum is σ = 92413440000. Its totient is φ = 9267613056.

The previous prime is 30506114777. The next prime is 30506114843. The reversal of 30506114808 is 80841160503.

30506114808 is a `hidden beast` number, since 3 + 0 + 506 + 1 + 148 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 153073 + ... + 290591.

It is an arithmetic number, because the mean of its divisors is an integer number (721980000).

Almost surely, 230506114808 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 30506114808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46206720000).

30506114808 is an abundant number, since it is smaller than the sum of its proper divisors (61907325192).

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

30506114808 is a wasteful number, since it uses less digits than its factorization.

30506114808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137626 (or 137616 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 30506114808 in words is "thirty billion, five hundred six million, one hundred fourteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 79 104 108 117 156 158 216 234 237 312 316 351 468 474 632 702 711 936 948 1027 1404 1422 1896 2054 2133 2808 2844 3081 4108 4266 5688 6162 8216 8532 9243 12324 17064 18486 24648 27729 36972 55458 73944 110916 137519 221832 275038 412557 550076 825114 1100152 1237671 1650228 1787747 2475342 3300456 3575494 3713013 4950684 5363241 7150988 7426026 9901368 10726482 10864001 14301976 14852052 16089723 21452964 21728002 29704104 32179446 32592003 42905928 43456004 48269169 64358892 65184006 86912008 96538338 97776009 128717784 130368012 141232013 193076676 195552018 260736024 282464026 293328027 386153352 391104036 423696039 564928052 586656054 782208072 847392078 1129856104 1173312108 1271088117 1694784156 2346624216 2542176234 3389568312 3813264351 5084352468 7626528702 10168704936 15253057404 30506114808