Search a number
-
+
30630307948512 = 2533127737156831
BaseRepresentation
bin1101111011011101011001…
…00111111110011111100000
311000110020011211022010021220
412331232230213332133200
513003321332313323022
6145051211430015040
76310652404506156
oct675565447763740
9130406154263256
1030630307948512
11983a271340988
1235284381a7480
13141256c1b34ac
1477c72c91b3d6
15381b707ee85c
hex1bdbac9fe7e0

30630307948512 has 96 divisors (see below), whose sum is σ = 83297888722944. Its totient is φ = 9845073676800.

The previous prime is 30630307948423. The next prime is 30630307948567. The reversal of 30630307948512 is 21584970303603.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17754064 + ... + 19402767.

It is an arithmetic number, because the mean of its divisors is an integer number (867686340864).

It is a 1-persistent number, because it is pandigital, but 2⋅30630307948512 = 61260615897024 is not.

Almost surely, 230630307948512 is an apocalyptic number.

30630307948512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30630307948512 is an abundant number, since it is smaller than the sum of its proper divisors (52667580774432).

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

30630307948512 is a wasteful number, since it uses less digits than its factorization.

30630307948512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37157152 (or 37157144 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 30630307948512 in words is "thirty trillion, six hundred thirty billion, three hundred seven million, nine hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 277 372 496 554 744 831 992 1108 1488 1662 2216 2976 3324 4432 6648 8587 8864 13296 17174 25761 26592 34348 51522 68696 103044 137392 206088 274784 412176 824352 37156831 74313662 111470493 148627324 222940986 297254648 445881972 594509296 891763944 1151861761 1189018592 1783527888 2303723522 3455585283 3567055776 4607447044 6911170566 9214894088 10292442187 13822341132 18429788176 20584884374 27644682264 30877326561 36859576352 41169768748 55289364528 61754653122 82339537496 110578729056 123509306244 164679074992 247018612488 319065707797 329358149984 494037224976 638131415594 957197123391 988074449952 1276262831188 1914394246782 2552525662376 3828788493564 5105051324752 7657576987128 10210102649504 15315153974256 30630307948512