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5542184721920 = 295711231412011
BaseRepresentation
bin101000010100110001111…
…1100111001111000000000
3201121211100101022202012212
41100221203330321320000
51211300343242100140
615442013340441252
71111260334600130
oct120514374717000
921554311282185
105542184721920
111847477877a00
12756142549228
13312819aa6b52
14152359398ac0
1599271a3b765
hex50a63f39e00

5542184721920 has 960 divisors, whose sum is σ = 17660205674496. Its totient is φ = 1630126080000.

The previous prime is 5542184721917. The next prime is 5542184721923. The reversal of 5542184721920 is 291274812455.

It is an interprime number because it is at equal distance from previous prime (5542184721917) and next prime (5542184721923).

It is a super-2 number, since 2×55421847219202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5542184721923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2755933715 + ... + 2755935725.

Almost surely, 25542184721920 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 5542184721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830102837248).

5542184721920 is an abundant number, since it is smaller than the sum of its proper divisors (12118020952576).

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

5542184721920 is a wasteful number, since it uses less digits than its factorization.

5542184721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

The spelling of 5542184721920 in words is "five trillion, five hundred forty-two billion, one hundred eighty-four million, seven hundred twenty-one thousand, nine hundred twenty".