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54842109480 = 23345171815501
BaseRepresentation
bin110011000100110110…
…000010111000101000
312020120001002211010000
4303010312002320220
51344304040000410
641105532423000
73651016145004
oct630466027050
9166501084100
1054842109480
1121292a39624
12a766617a60
13522cc99072
142923851704
15165ea0ddc0
hexcc4d82e28

54842109480 has 320 divisors, whose sum is σ = 196287371280. Its totient is φ = 13685760000.

The previous prime is 54842109479. The next prime is 54842109493. The reversal of 54842109480 is 8490124845.

54842109480 is a `hidden beast` number, since 5 + 484 + 2 + 1 + 0 + 94 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30806568324 + 24035541156 = 175518^2 + 155034^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9966730 + ... + 9972230.

Almost surely, 254842109480 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 54842109480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98143685640).

54842109480 is an abundant number, since it is smaller than the sum of its proper divisors (141445261800).

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

54842109480 is a wasteful number, since it uses less digits than its factorization.

54842109480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 54842109480 in words is "fifty-four billion, eight hundred forty-two million, one hundred nine thousand, four hundred eighty".