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54370770048 = 2733723110357
BaseRepresentation
bin110010101000110000…
…000001110010000000
312012100012012021222000
4302220300001302000
51342322404120143
640551054144000
73633233630400
oct625060016200
9165305167860
1054370770048
1121070978301
12a6547b2000
13518643a3aa
1428badda800
151633457bd3
hexca8c01c80

54370770048 has 384 divisors, whose sum is σ = 192708518400. Its totient is φ = 15031941120.

The previous prime is 54370770043. The next prime is 54370770071. The reversal of 54370770048 is 84007707345.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×543707700482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54370769985 and 54370770012.

It is not an unprimeable number, because it can be changed into a prime (54370770043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5244486 + ... + 5254842.

It is an arithmetic number, because the mean of its divisors is an integer number (501845100).

Almost surely, 254370770048 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 54370770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96354259200).

54370770048 is an abundant number, since it is smaller than the sum of its proper divisors (138337748352).

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

54370770048 is a wasteful number, since it uses less digits than its factorization.

54370770048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10425 (or 10400 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 54370770048 in words is "fifty-four billion, three hundred seventy million, seven hundred seventy thousand, forty-eight".