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54996253312 = 27711131922941
BaseRepresentation
bin110011001110000010…
…000011101010000000
312020221210011010200211
4303032002003222000
51400113020101222
641133120323504
73654600303640
oct631602035200
9166853133624
1054996253312
1121361a51120
12a7aa173594
135255bb9130
14293a0d8520
15166d30b277
hexcce083a80

54996253312 has 768 divisors, whose sum is σ = 164526163200. Its totient is φ = 17650483200.

The previous prime is 54996253289. The next prime is 54996253339. The reversal of 54996253312 is 21335269945.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1341372012 + ... + 1341372052.

It is an arithmetic number, because the mean of its divisors is an integer number (214226775).

Almost surely, 254996253312 is an apocalyptic number.

54996253312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54996253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82263081600).

54996253312 is an abundant number, since it is smaller than the sum of its proper divisors (109529909888).

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

54996253312 is a wasteful number, since it uses less digits than its factorization.

54996253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 49.

The spelling of 54996253312 in words is "fifty-four billion, nine hundred ninety-six million, two hundred fifty-three thousand, three hundred twelve".