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55171869068736 = 26327231409422239
BaseRepresentation
bin11001000101101101100111…
…01010000100110111000000
321020100101020102020200222100
430202312303222010313000
524212413441440144421
6313201335020310400
714423015230233360
oct1442666352046700
9236311212220870
1055171869068736
1116641292841822
1262308173a2400
1324a28b9a35044
14d8a492d5c9a0
1565a230d29c26
hex322db3a84dc0

55171869068736 has 336 divisors, whose sum is σ = 188723849932800. Its totient is φ = 15067289419776.

The previous prime is 55171869068629. The next prime is 55171869068737. The reversal of 55171869068736 is 63786096817155.

55171869068736 is a `hidden beast` number, since 5 + 517 + 18 + 6 + 9 + 0 + 68 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55171869068737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130453905 + ... + 130876143.

It is an arithmetic number, because the mean of its divisors is an integer number (561678124800).

Almost surely, 255171869068736 is an apocalyptic number.

55171869068736 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 55171869068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94361924966400).

55171869068736 is an abundant number, since it is smaller than the sum of its proper divisors (133551980864064).

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

55171869068736 is a wasteful number, since it uses less digits than its factorization.

55171869068736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423696 (or 423683 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 55171869068736 in words is "fifty-five trillion, one hundred seventy-one billion, eight hundred sixty-nine million, sixty-eight thousand, seven hundred thirty-six".