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540251054064 = 243216692247899
BaseRepresentation
bin1111101110010010111…
…10001101111111110000
31220122111000200010011200
413313021132031333300
532322413232212224
61052104331011200
754013632122241
oct7671136157760
91818430603150
10540251054064
111991346aa137
1288854b99b00
133bc3a221727
141c210ca2cc8
15e0be6ab5c9
hex7dc978dff0

540251054064 has 60 divisors (see below), whose sum is σ = 1512859179000. Its totient is φ = 179975705472.

The previous prime is 540251054051. The next prime is 540251054071. The reversal of 540251054064 is 460450152045.

540251054064 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 51 + 0 + 540 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 883614 + ... + 1364285.

It is an arithmetic number, because the mean of its divisors is an integer number (25214319650).

Almost surely, 2540251054064 is an apocalyptic number.

It is an amenable number.

540251054064 is an abundant number, since it is smaller than the sum of its proper divisors (972608124936).

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

540251054064 is a wasteful number, since it uses less digits than its factorization.

540251054064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249582 (or 2249573 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 540251054064 in words is "five hundred forty billion, two hundred fifty-one million, fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1669 3338 5007 6676 10014 13352 15021 20028 26704 30042 40056 60084 80112 120168 240336 2247899 4495798 6743697 8991596 13487394 17983192 20231091 26974788 35966384 40462182 53949576 80924364 107899152 161848728 323697456 3751743431 7503486862 11255230293 15006973724 22510460586 30013947448 33765690879 45020921172 60027894896 67531381758 90041842344 135062763516 180083684688 270125527032 540251054064