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30339375768 = 23331367161263
BaseRepresentation
bin11100010000010111…
…100010001010011000
32220022101212222102000
4130100113202022120
5444113340011033
621534314041000
72122560303402
oct342027421230
986271788360
1030339375768
1111959872079
125a68719160
132b2679b570
14167b54bb72
15bc8814a13
hex7105e2298

30339375768 has 128 divisors (see below), whose sum is σ = 92113996800. Its totient is φ = 9195804288.

The previous prime is 30339375743. The next prime is 30339375799. The reversal of 30339375768 is 86757393303.

30339375768 is a `hidden beast` number, since 3 + 0 + 3 + 39 + 37 + 576 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 107505 + ... + 268767.

It is an arithmetic number, because the mean of its divisors is an integer number (719640600).

Almost surely, 230339375768 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 30339375768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46056998400).

30339375768 is an abundant number, since it is smaller than the sum of its proper divisors (61774621032).

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

30339375768 is a wasteful number, since it uses less digits than its factorization.

30339375768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161358 (or 161348 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 30339375768 in words is "thirty billion, three hundred thirty-nine million, three hundred seventy-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 67 72 78 104 108 117 134 156 201 216 234 268 312 351 402 468 536 603 702 804 871 936 1206 1404 1608 1742 1809 2412 2613 2808 3484 3618 4824 5226 6968 7236 7839 10452 14472 15678 20904 23517 31356 47034 62712 94068 161263 188136 322526 483789 645052 967578 1290104 1451367 1935156 2096419 2902734 3870312 4192838 4354101 5805468 6289257 8385676 8708202 10804621 11610936 12578514 16771352 17416404 18867771 21609242 25157028 32413863 34832808 37735542 43218484 50314056 56603313 64827726 75471084 86436968 97241589 113206626 129655452 140460073 150942168 194483178 226413252 259310904 280920146 291724767 388966356 421380219 452826504 561840292 583449534 777932712 842760438 1123680584 1166899068 1264140657 1685520876 2333798136 2528281314 3371041752 3792421971 5056562628 7584843942 10113125256 15169687884 30339375768