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54640685808 = 2434315367383
BaseRepresentation
bin110010111000110101…
…101011001011110000
312020001000002102210000
4302320311223023300
51343401003421213
641033535310000
73643022110662
oct627065531360
9166030072700
1054640685808
112119a273a85
12a70b07b300
1351ca333a67
142904bbc532
15164bec2c73
hexcb8d6b2f0

54640685808 has 400 divisors, whose sum is σ = 169250881536. Its totient is φ = 16990871040.

The previous prime is 54640685731. The next prime is 54640685923. The reversal of 54640685808 is 80858604645.

54640685808 is a `hidden beast` number, since 54 + 6 + 4 + 0 + 6 + 8 + 580 + 8 = 666.

It is a super-2 number, since 2×546406858082 (a number of 22 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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 142664785 + ... + 142665167.

Almost surely, 254640685808 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 54640685808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84625440768).

54640685808 is an abundant number, since it is smaller than the sum of its proper divisors (114610195728).

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

54640685808 is a wasteful number, since it uses less digits than its factorization.

54640685808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 54640685808 in words is "fifty-four billion, six hundred forty million, six hundred eighty-five thousand, eight hundred eight".