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55780853737840 = 245721131735231093
BaseRepresentation
bin11001010111011011111011…
…11110001110100101110000
321022111121010121100020102221
430223231331332032211300
524302403142024102330
6314345212003250424
714515014361431100
oct1453557576164560
9238447117306387
1055780853737840
1116856588805190
12630a853079a14
13251815bc056aa
14dabb44587200
1566aec4846b7a
hex32bb7df8e970

55780853737840 has 960 divisors, whose sum is σ = 172702789742592. Its totient is φ = 16548024729600.

The previous prime is 55780853737789. The next prime is 55780853737841. The reversal of 55780853737840 is 4873735808755.

It is a super-3 number, since 3×557808537378403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 55780853737840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55780853737841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51034632334 + ... + 51034633426.

Almost surely, 255780853737840 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 55780853737840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86351394871296).

55780853737840 is an abundant number, since it is smaller than the sum of its proper divisors (116921936004752).

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

55780853737840 is a wasteful number, since it uses less digits than its factorization.

55780853737840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 790272000, while the sum is 70.

The spelling of 55780853737840 in words is "fifty-five trillion, seven hundred eighty billion, eight hundred fifty-three million, seven hundred thirty-seven thousand, eight hundred forty".