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30251346128 = 2419792834451
BaseRepresentation
bin11100001011000111…
…101110100011010000
32220002021020121102222
4130023013232203100
5443423321034003
621521451200212
72120441125253
oct341307564320
986067217388
1030251346128
1111914107103
125a43146068
132b11489413
14166d99509a
15bc0c26c38
hex70b1ee8d0

30251346128 has 80 divisors (see below), whose sum is σ = 62712652800. Its totient is φ = 14095036800.

The previous prime is 30251346053. The next prime is 30251346149. The reversal of 30251346128 is 82164315203.

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 15 ways as a sum of consecutive naturals, for example, 6794303 + ... + 6798753.

It is an arithmetic number, because the mean of its divisors is an integer number (783908160).

Almost surely, 230251346128 is an apocalyptic number.

30251346128 is a gapful number since it is divisible by the number (38) 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 30251346128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31356326400).

30251346128 is an abundant number, since it is smaller than the sum of its proper divisors (32461306672).

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

30251346128 is a wasteful number, since it uses less digits than its factorization.

30251346128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 30251346128 in words is "thirty billion, two hundred fifty-one million, three hundred forty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 79 152 158 283 304 316 566 632 1132 1264 1501 2264 3002 4451 4528 5377 6004 8902 10754 12008 17804 21508 22357 24016 35608 43016 44714 71216 84569 86032 89428 169138 178856 338276 351629 357712 424783 676552 703258 849566 1259633 1353104 1406516 1699132 2519266 2813032 3398264 5038532 5626064 6680951 6796528 10077064 13361902 20154128 23933027 26723804 47866054 53447608 95732108 99511007 106895216 191464216 199022014 382928432 398044028 796088056 1592176112 1890709133 3781418266 7562836532 15125673064 30251346128