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5507098733136 = 243721113194121019
BaseRepresentation
bin101000000100011100010…
…1010011110101001010000
3201111110210011211211211210
41100020320222132221100
51210212014233430021
615413532022140120
71105606016605500
oct120107052365120
921443704754753
105507098733136
111833602735260
1274b390281640
1330c417b06c40
1415078b6a7a00
15983bb672e76
hex50238a9ea50

5507098733136 has 960 divisors, whose sum is σ = 20966108083200. Its totient is φ = 1220321894400.

The previous prime is 5507098733089. The next prime is 5507098733141. The reversal of 5507098733136 is 6313378907055.

It is a super-2 number, since 2×55070987331362 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 261995235 + ... + 262016253.

It is an arithmetic number, because the mean of its divisors is an integer number (21839695920).

Almost surely, 25507098733136 is an apocalyptic number.

5507098733136 is a gapful number since it is divisible by the number (56) 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 5507098733136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10483054041600).

5507098733136 is an abundant number, since it is smaller than the sum of its proper divisors (15459009350064).

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

5507098733136 is a wasteful number, since it uses less digits than its factorization.

5507098733136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21128 (or 21115 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 57.

The spelling of 5507098733136 in words is "five trillion, five hundred seven billion, ninety-eight million, seven hundred thirty-three thousand, one hundred thirty-six".