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30167938202472 = 2334723241306643
BaseRepresentation
bin1101101110000000001010…
…01111010111101101101000
310221211000201111001101010000
412313000011033113231220
512423232414134434342
6144054543125423000
76232363426510650
oct667000517275550
9127730644041100
1030167938202472
119681172703224
1234728b956aa60
1313aaa94192aa5
147641c927d360
15374b0d60644c
hex1b70053d7b68

30167938202472 has 480 divisors, whose sum is σ = 103413088658880. Its totient is φ = 8043538567680.

The previous prime is 30167938202429. The next prime is 30167938202579. The reversal of 30167938202472 is 27420283976103.

It is a happy number.

30167938202472 is a `hidden beast` number, since 3 + 0 + 1 + 6 + 7 + 93 + 82 + 0 + 2 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 98227983 + ... + 98534625.

It is an arithmetic number, because the mean of its divisors is an integer number (215443934706).

Almost surely, 230167938202472 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 30167938202472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51706544329440).

30167938202472 is an abundant number, since it is smaller than the sum of its proper divisors (73245150456408).

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

30167938202472 is a wasteful number, since it uses less digits than its factorization.

30167938202472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306755 (or 306719 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 30167938202472 in words is "thirty trillion, one hundred sixty-seven billion, nine hundred thirty-eight million, two hundred two thousand, four hundred seventy-two".