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30057146217 = 3277312975039
BaseRepresentation
bin11011111111100010…
…111010011101101001
32212120201211020020200
4123333202322131221
5443024112134332
621450312542413
72112562345620
oct337742723551
985521736220
1030057146217
111182452590a
1259aa0b1a09
132ab0183127
141651c826b7
15badb6617c
hex6ff8ba769

30057146217 has 48 divisors (see below), whose sum is σ = 50346616320. Its totient is φ = 16923810816.

The previous prime is 30057146149. The next prime is 30057146279. The reversal of 30057146217 is 71264175003.

It is a happy number.

30057146217 is a `hidden beast` number, since 30 + 0 + 571 + 46 + 2 + 17 = 666.

It is not a de Polignac number, because 30057146217 - 212 = 30057142121 is a prime.

It is a super-2 number, since 2×300571462172 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30057141217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5962384 + ... + 5967422.

It is an arithmetic number, because the mean of its divisors is an integer number (1048887840).

Almost surely, 230057146217 is an apocalyptic number.

It is an amenable number.

30057146217 is a deficient number, since it is larger than the sum of its proper divisors (20289470103).

30057146217 is a wasteful number, since it uses less digits than its factorization.

30057146217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 30057146217 in words is "thirty billion, fifty-seven million, one hundred forty-six thousand, two hundred seventeen".

Divisors: 1 3 7 9 21 63 73 219 511 657 1297 1533 3891 4599 5039 9079 11673 15117 27237 35273 45351 81711 94681 105819 284043 317457 367847 662767 852129 1103541 1988301 2574929 3310623 5964903 6535583 7724787 19606749 23174361 45749081 58820247 137247243 411741729 477097559 1431292677 3339682913 4293878031 10019048739 30057146217