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32300146312 = 2376715754833
BaseRepresentation
bin11110000101001111…
…010001111010001000
310002101001102102221021
4132011033101322020
51012122314140222
622501040122224
72222266466530
oct360517217210
9102331372837
1032300146312
1112775654aa5
126315306374
133079a8ba15
1417c5b144c0
15c90a28ac7
hex7853d1e88

32300146312 has 64 divisors (see below), whose sum is σ = 70696379520. Its totient is φ = 13549206528.

The previous prime is 32300146237. The next prime is 32300146331. The reversal of 32300146312 is 21364100323.

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 15 ways as a sum of consecutive naturals, for example, 561648 + ... + 616480.

It is an arithmetic number, because the mean of its divisors is an integer number (1104630930).

Almost surely, 232300146312 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 32300146312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35348189760).

32300146312 is an abundant number, since it is smaller than the sum of its proper divisors (38396233208).

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

32300146312 is a wasteful number, since it uses less digits than its factorization.

32300146312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55070 (or 55066 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 32300146312 its reverse (21364100323), we get a palindrome (53664246635).

The spelling of 32300146312 in words is "thirty-two billion, three hundred million, one hundred forty-six thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 67 134 157 268 314 469 536 628 938 1099 1256 1876 2198 3752 4396 8792 10519 21038 42076 54833 73633 84152 109666 147266 219332 294532 383831 438664 589064 767662 1535324 3070648 3673811 7347622 8608781 14695244 17217562 25716677 29390488 34435124 51433354 60261467 68870248 102866708 120522934 205733416 241045868 482091736 576788327 1153576654 2307153308 4037518289 4614306616 8075036578 16150073156 32300146312