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27780648632 = 23111735413373
BaseRepresentation
bin11001110111110110…
…110000111010111000
32122201002012011122022
4121313312300322320
5423343321224012
620432351414012
72002300421462
oct316766607270
978632164568
1027780648632
11108664a7550
125473824308
132809649639
1414b77b1132
15ac8d88472
hex677db0eb8

27780648632 has 64 divisors (see below), whose sum is σ = 57275134560. Its totient is φ = 12527654400.

The previous prime is 27780648631. The next prime is 27780648659. The reversal of 27780648632 is 23684608772.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27780648631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8234498 + ... + 8237870.

Almost surely, 227780648632 is an apocalyptic number.

27780648632 is a gapful number since it is divisible by the number (22) 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 27780648632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28637567280).

27780648632 is an abundant number, since it is smaller than the sum of its proper divisors (29494485928).

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

27780648632 is a wasteful number, since it uses less digits than its factorization.

27780648632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 53.

The spelling of 27780648632 in words is "twenty-seven billion, seven hundred eighty million, six hundred forty-eight thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 173 346 541 692 1082 1384 1903 2164 3373 3806 4328 5951 6746 7612 11902 13492 15224 23804 26984 37103 47608 74206 93593 148412 187186 296824 374372 583529 748744 1029523 1167058 1824793 2059046 2334116 3649586 4118092 4668232 6418819 7299172 8236184 12837638 14598344 20072723 25675276 40145446 51350552 80290892 160581784 315689189 631378378 1262756756 2525513512 3472581079 6945162158 13890324316 27780648632