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540954569070 = 2355298778753
BaseRepresentation
bin1111101111100110110…
…01111010100101101110
31220201022001110101100000
413313303121322211232
532330333332202240
61052302221445130
754040233653346
oct7676331724556
91821261411300
10540954569070
1119946582a3a3
1288a107107a6
133c01cbc19b6
141c27a4b3d26
15e111325430
hex7df367a96e

540954569070 has 192 divisors, whose sum is σ = 1510762518720. Its totient is φ = 139105548288.

The previous prime is 540954569063. The next prime is 540954569159. The reversal of 540954569070 is 70965459045.

540954569070 is a `hidden beast` number, since 5 + 4 + 0 + 9 + 5 + 4 + 569 + 0 + 70 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 540954568998 and 540954569016.

It is a congruent number.

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, 61797814 + ... + 61806566.

It is an arithmetic number, because the mean of its divisors is an integer number (7868554785).

Almost surely, 2540954569070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540954569070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755381259360).

540954569070 is an abundant number, since it is smaller than the sum of its proper divisors (969807949650).

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

540954569070 is a wasteful number, since it uses less digits than its factorization.

540954569070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9681 (or 9669 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 540954569070 in words is "five hundred forty billion, nine hundred fifty-four million, five hundred sixty-nine thousand, seventy".