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540867669030 = 2345132313716301
BaseRepresentation
bin1111101111011100011…
…10011010110000100110
31220201001222221101220000
413313232032122300212
532330144110402110
61052245435122130
754035130221433
oct7675616326046
91821058841800
10540867669030
11199420776087
12889a75a3346
133c007bb6a60
141c26cb32b8a
15e1088ac1c0
hex7dee39ac26

540867669030 has 320 divisors, whose sum is σ = 1646330894208. Its totient is φ = 126410803200.

The previous prime is 540867668987. The next prime is 540867669049. The reversal of 540867669030 is 30966768045.

540867669030 is a `hidden beast` number, since 5 + 408 + 67 + 66 + 90 + 30 = 666.

It is a super-2 number, since 2×5408676690302 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 33171880 + ... + 33188180.

Almost surely, 2540867669030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540867669030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823165447104).

540867669030 is an abundant number, since it is smaller than the sum of its proper divisors (1105463225178).

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

540867669030 is a wasteful number, since it uses less digits than its factorization.

540867669030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16493 (or 16484 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 540867669030 in words is "five hundred forty billion, eight hundred sixty-seven million, six hundred sixty-nine thousand, thirty".