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30519338112 = 273523371153
BaseRepresentation
bin11100011011000110…
…000010010010000000
32220202221112000100000
4130123012002102000
51000000422304422
622004223200000
72130204044064
oct343306022200
986687460300
1030519338112
1111a4140948a
125ab8a46000
132b54b5b263
1416973d5aa4
15bd9511cac
hex71b182480

30519338112 has 384 divisors, whose sum is σ = 97688223360. Its totient is φ = 9459597312.

The previous prime is 30519338071. The next prime is 30519338131. The reversal of 30519338112 is 21183391503.

30519338112 is a `hidden beast` number, since 30 + 519 + 33 + 81 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26468928 + ... + 26470080.

It is an arithmetic number, because the mean of its divisors is an integer number (254396415).

Almost surely, 230519338112 is an apocalyptic number.

30519338112 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 30519338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48844111680).

30519338112 is an abundant number, since it is smaller than the sum of its proper divisors (67168885248).

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

30519338112 is a wasteful number, since it uses less digits than its factorization.

30519338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 30519338112 in words is "thirty billion, five hundred nineteen million, three hundred thirty-eight thousand, one hundred twelve".