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30325332030432 = 2531996043262681
BaseRepresentation
bin1101110010100101010101…
…01001001011001111100000
310222101001222112022021011120
412321102222221023033200
512433322234444433212
6144255133141412240
76246634666125645
oct671225251131740
9128331875267146
1030325332030432
1197319a039579a
12349930440a080
1313bc88850837a
1476ba7a9c5dcc
15378c7139488c
hex1b94aaa4b3e0

30325332030432 has 96 divisors (see below), whose sum is σ = 80017560403200. Its totient is φ = 10055945180160.

The previous prime is 30325332030407. The next prime is 30325332030463. The reversal of 30325332030432 is 23403023352303.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 30325332030393 and 30325332030402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115314132 + ... + 115576812.

It is an arithmetic number, because the mean of its divisors is an integer number (833516254200).

Almost surely, 230325332030432 is an apocalyptic number.

30325332030432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30325332030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40008780201600).

30325332030432 is an abundant number, since it is smaller than the sum of its proper divisors (49692228372768).

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

30325332030432 is a wasteful number, since it uses less digits than its factorization.

30325332030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268936 (or 268928 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 33.

Adding to 30325332030432 its reverse (23403023352303), we get a palindrome (53728355382735).

The spelling of 30325332030432 in words is "thirty trillion, three hundred twenty-five billion, three hundred thirty-two million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2388 3184 4776 6043 6368 9552 12086 18129 19104 24172 36258 48344 72516 96688 145032 193376 262681 290064 525362 580128 788043 1050724 1202557 1576086 2101448 2405114 3152172 3607671 4202896 4810228 6304344 7215342 8405792 9620456 12608688 14430684 19240912 25217376 28861368 38481824 52273519 57722736 104547038 115445472 156820557 209094076 313641114 418188152 627282228 836376304 1254564456 1587381283 1672752608 2509128912 3174762566 4762143849 5018257824 6349525132 9524287698 12699050264 19048575396 25398100528 38097150792 50796201056 76194301584 152388603168 315888875317 631777750634 947666625951 1263555501268 1895333251902 2527111002536 3790666503804 5054222005072 7581333007608 10108444010144 15162666015216 30325332030432