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54362000000 = 2756711353
BaseRepresentation
bin110010101000001110…
…100100101010000000
312012022120200201201102
4302220032210222000
51342313133000000
640550142153532
73633066242630
oct625016445200
9165276621642
1054362000000
1121066a28230
12a6518828a8
135184689609
1428b9b966c0
1516327c43d5
hexca83a4a80

54362000000 has 448 divisors, whose sum is σ = 169254083520. Its totient is φ = 16896000000.

The previous prime is 54361999987. The next prime is 54362000093. The reversal of 54362000000 is 26345.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 55 ways as a sum of consecutive naturals, for example, 153999824 + ... + 154000176.

Almost surely, 254362000000 is an apocalyptic number.

54362000000 is a gapful number since it is divisible by the number (50) 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 54362000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84627041760).

54362000000 is an abundant number, since it is smaller than the sum of its proper divisors (114892083520).

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

54362000000 is an frugal number, since it uses more digits than its factorization.

54362000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 54362000000 its reverse (26345), we get a palindrome (54362026345).

The spelling of 54362000000 in words is "fifty-four billion, three hundred sixty-two million", and thus it is an aban number.