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5523429384144 = 24347217311511093
BaseRepresentation
bin101000001100000011000…
…0010111101111111010000
3201120000221021211212120000
41100120012002331333100
51210443440410243034
615425232312450000
71110024505055100
oct120300602757720
921500837755500
105523429384144
11183a52298a051
127525893a9900
13310b1b230349
1415149a50b200
1598a251ce599
hex506060bdfd0

5523429384144 has 1200 divisors, whose sum is σ = 20478838127616. Its totient is φ = 1426553856000.

The previous prime is 5523429384101. The next prime is 5523429384173. The reversal of 5523429384144 is 4414839243255.

5523429384144 is a `hidden beast` number, since 5 + 5 + 234 + 29 + 384 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×55234293841442 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 5053457262 + ... + 5053458354.

Almost surely, 25523429384144 is an apocalyptic number.

5523429384144 is a gapful number since it is divisible by the number (54) 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 5523429384144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10239419063808).

5523429384144 is an abundant number, since it is smaller than the sum of its proper divisors (14955408743472).

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

5523429384144 is a wasteful number, since it uses less digits than its factorization.

5523429384144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1304 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 5523429384144 in words is "five trillion, five hundred twenty-three billion, four hundred twenty-nine million, three hundred eighty-four thousand, one hundred forty-four".