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30264836856 = 233232916711321
BaseRepresentation
bin11100001011111011…
…001100001011111000
32220010012122000020120
4130023323030023320
5443440244234411
621523052253240
72120663603652
oct341373141370
986105560216
1030264836856
1111920790971
125a47771220
132b14200ab7
1416716a76d2
15bc1ede106
hex70becc2f8

30264836856 has 128 divisors (see below), whose sum is σ = 82170547200. Its totient is φ = 9260303360.

The previous prime is 30264836843. The next prime is 30264836881. The reversal of 30264836856 is 65863846203.

It is a super-4 number, since 4×302648368564 (a number of 43 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30264836799 and 30264836808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2667676 + ... + 2678996.

It is an arithmetic number, because the mean of its divisors is an integer number (641957400).

Almost surely, 230264836856 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 30264836856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41085273600).

30264836856 is an abundant number, since it is smaller than the sum of its proper divisors (51905710344).

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

30264836856 is a wasteful number, since it uses less digits than its factorization.

30264836856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11549 (or 11545 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 30264836856 in words is "thirty billion, two hundred sixty-four million, eight hundred thirty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 167 174 184 232 276 334 348 501 552 667 668 696 1002 1334 1336 2001 2004 2668 3841 4002 4008 4843 5336 7682 8004 9686 11321 11523 14529 15364 16008 19372 22642 23046 29058 30728 33963 38744 45284 46092 58116 67926 90568 92184 111389 116232 135852 222778 260383 271704 328309 334167 445556 520766 656618 668334 781149 891112 984927 1041532 1313236 1336668 1562298 1890607 1969854 2083064 2626472 2673336 3124596 3781214 3939708 5671821 6249192 7551107 7562428 7879416 11343642 15102214 15124856 22653321 22687284 30204428 43483961 45306642 45374568 54827603 60408856 86967922 90613284 109655206 130451883 164482809 173935844 181226568 219310412 260903766 328965618 347871688 438620824 521807532 657931236 1043615064 1261034869 1315862472 2522069738 3783104607 5044139476 7566209214 10088278952 15132418428 30264836856