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30413956327872 = 2631312185078657
BaseRepresentation
bin1101110101001010011010…
…00100000010100111000000
310222200112201220120001011020
412322211031010002213000
512441300240304442442
6144403551215545440
76256223122204605
oct672451504024700
9128615656501136
1030413956327872
119766539503117
1234b251852b280
1313c8040308360
14772086cd86ac
1537b20ba7a9ec
hex1ba94d1029c0

30413956327872 has 56 divisors (see below), whose sum is σ = 86660279415696. Its totient is φ = 9358140407808.

The previous prime is 30413956327861. The next prime is 30413956327889. The reversal of 30413956327872 is 27872365931403.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6092536833 + ... + 6092541824.

It is an arithmetic number, because the mean of its divisors is an integer number (1547504989566).

It is a 1-persistent number, because it is pandigital, but 2⋅30413956327872 = 60827912655744 is not.

Almost surely, 230413956327872 is an apocalyptic number.

30413956327872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30413956327872 is an abundant number, since it is smaller than the sum of its proper divisors (56246323087824).

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

30413956327872 is a wasteful number, since it uses less digits than its factorization.

30413956327872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12185078685 (or 12185078675 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 30413956327872 in words is "thirty trillion, four hundred thirteen billion, nine hundred fifty-six million, three hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 12185078657 24370157314 36555235971 48740314628 73110471942 97480629256 146220943884 158406022541 194961258512 292441887768 316812045082 389922517024 475218067623 584883775536 633624090164 779845034048 950436135246 1169767551072 1267248180328 1900872270492 2339535102144 2534496360656 3801744540984 5068992721312 7603489081968 10137985442624 15206978163936 30413956327872