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54442979712 = 273611293159
BaseRepresentation
bin110010101101000011…
…011111000110000000
312012112020001221000000
4302231003133012000
51342444400322322
641002154000000
73635101456242
oct625503370600
9165466057000
1054442979712
11210a8708510
12a674a16000
1351983a08c4
1428c6836092
15163996d3ac
hexcad0df180

54442979712 has 896 divisors, whose sum is σ = 192647808000. Its totient is φ = 15153868800.

The previous prime is 54442979711. The next prime is 54442979713. The reversal of 54442979712 is 21797924445.

54442979712 is a `hidden beast` number, since 544 + 4 + 2 + 9 + 7 + 97 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (54442979711) and next prime (54442979713).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5080320) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54442979711) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 922762339 + ... + 922762397.

Almost surely, 254442979712 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 54442979712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96323904000).

54442979712 is an abundant number, since it is smaller than the sum of its proper divisors (138204828288).

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

54442979712 is a wasteful number, since it uses less digits than its factorization.

54442979712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 54442979712 in words is "fifty-four billion, four hundred forty-two million, nine hundred seventy-nine thousand, seven hundred twelve".