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30077786076 = 223132297191171
BaseRepresentation
bin11100000000110001…
…101001011111011100
32212122011122211210220
4130000301221133130
5443044403123301
621452331201340
72113232651262
oct340061513734
985564584726
1030077786076
1111835142948
1259b4ba6250
132ab452b870
1416548d6432
15bb0891936
hex700c697dc

30077786076 has 96 divisors (see below), whose sum is σ = 76080614400. Its totient is φ = 9193616640.

The previous prime is 30077786029. The next prime is 30077786173. The reversal of 30077786076 is 67068777003.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25684971 + ... + 25686141.

It is an arithmetic number, because the mean of its divisors is an integer number (792506400).

Almost surely, 230077786076 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 30077786076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38040307200).

30077786076 is an abundant number, since it is smaller than the sum of its proper divisors (46002828324).

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

30077786076 is a wasteful number, since it uses less digits than its factorization.

30077786076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 51.

The spelling of 30077786076 in words is "thirty billion, seventy-seven million, seven hundred eighty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 229 458 687 719 916 1171 1374 1438 2157 2342 2748 2876 2977 3513 4314 4684 5954 7026 8628 8931 9347 11908 14052 15223 17862 18694 28041 30446 35724 37388 45669 56082 60892 91338 112164 164651 182676 268159 329302 493953 536318 658604 804477 841949 987906 1072636 1608954 1683898 1975812 2140463 2525847 3217908 3367796 3486067 4280926 5051694 6421389 6972134 8561852 10103388 10458201 10945337 12842778 13944268 20916402 21890674 25685556 32836011 41832804 43781348 65672022 131344044 192806321 385612642 578418963 771225284 1156837926 2313675852 2506482173 5012964346 7519446519 10025928692 15038893038 30077786076