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540133153050 = 235283199311701
BaseRepresentation
bin1111101110000100111…
…00011101100100011010
31220122011210211010101110
413313002130131210122
532322143041344200
61052044520001150
754011001022431
oct7670234354432
91818153733343
10540133153050
111990840a1387
12888216001b6
133bc1b98100a
141c1dd372118
15e0b416cb50
hex7dc271d91a

540133153050 has 192 divisors, whose sum is σ = 1368812390400. Its totient is φ = 140928480000.

The previous prime is 540133153009. The next prime is 540133153061. The reversal of 540133153050 is 50351331045.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 540133152999 and 540133153017.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 770517700 + ... + 770518400.

It is an arithmetic number, because the mean of its divisors is an integer number (7129231200).

Almost surely, 2540133153050 is an apocalyptic number.

540133153050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540133153050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684406195200).

540133153050 is an abundant number, since it is smaller than the sum of its proper divisors (828679237350).

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

540133153050 is a wasteful number, since it uses less digits than its factorization.

540133153050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 540133153050 its reverse (50351331045), we get a palindrome (590484484095).

The spelling of 540133153050 in words is "five hundred forty billion, one hundred thirty-three million, one hundred fifty-three thousand, fifty".