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475534004148 = 2233719110133251
BaseRepresentation
bin1101110101110000000…
…10010000111110110100
31200110102210010100102000
412322320002100332310
530242343201113043
61002242440015300
746233114225360
oct6727002207664
91613383110360
10475534004148
11173744603715
12781b3461530
1335ac5444058
1419031b642a0
15c582c942d3
hex6eb8090fb4

475534004148 has 192 divisors, whose sum is σ = 1418200842240. Its totient is φ = 134980560000.

The previous prime is 475534004131. The next prime is 475534004159. The reversal of 475534004148 is 841400435574.

475534004148 is a `hidden beast` number, since 4 + 75 + 534 + 0 + 0 + 4 + 1 + 48 = 666.

It is a super-2 number, since 2×4755340041482 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146271523 + ... + 146274773.

It is an arithmetic number, because the mean of its divisors is an integer number (7386462720).

Almost surely, 2475534004148 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 475534004148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709100421120).

475534004148 is an abundant number, since it is smaller than the sum of its proper divisors (942666838092).

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

475534004148 is a wasteful number, since it uses less digits than its factorization.

475534004148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 475534004148 in words is "four hundred seventy-five billion, five hundred thirty-four million, four thousand, one hundred forty-eight".