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55055602640 = 24515135312911
BaseRepresentation
bin110011010001100100…
…011101001111010000
312021002220211101200002
4303101210131033100
51400223213241030
641143040345132
73656220621023
oct632144351720
9167086741602
1055055602640
11213924a8155
12a8060151a8
135265298b8c
142943d471ba
151673631245
hexcd191d3d0

55055602640 has 80 divisors (see below), whose sum is σ = 129227014656. Its totient is φ = 21812736000.

The previous prime is 55055602627. The next prime is 55055602649. The reversal of 55055602640 is 4620655055.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×550556026402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55055602594 and 55055602603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55055602649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4257785 + ... + 4270695.

Almost surely, 255055602640 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 55055602640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64613507328).

55055602640 is an abundant number, since it is smaller than the sum of its proper divisors (74171412016).

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

55055602640 is a wasteful number, since it uses less digits than its factorization.

55055602640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13428 (or 13422 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 55055602640 in words is "fifty-five billion, fifty-five million, six hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 353 604 706 755 1208 1412 1510 1765 2416 2824 3020 3530 5648 6040 7060 12080 12911 14120 25822 28240 51644 53303 64555 103288 106606 129110 206576 213212 258220 266515 426424 516440 533030 852848 1032880 1066060 1949561 2132120 3899122 4264240 4557583 7798244 9115166 9747805 15596488 18230332 19495610 22787915 31192976 36460664 38991220 45575830 72921328 77982440 91151660 155964880 182303320 364606640 688195033 1376390066 2752780132 3440975165 5505560264 6881950330 11011120528 13763900660 27527801320 55055602640