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55381095840 = 25357172967499
BaseRepresentation
bin110011100100111110…
…000111010110100000
312021221121022011101210
4303210332013112200
51401410030031330
641235225030120
74000252355550
oct634476072640
9167847264353
1055381095840
112153a203aa4
12a897025340
1352b78514c5
142975275160
151691ec88b0
hexce4f875a0

55381095840 has 768 divisors, whose sum is σ = 222082560000. Its totient is φ = 11308695552.

The previous prime is 55381095839. The next prime is 55381095911. The reversal of 55381095840 is 4859018355.

It is a happy number.

55381095840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 55381095840.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110983911 + ... + 110984409.

It is an arithmetic number, because the mean of its divisors is an integer number (289170000).

Almost surely, 255381095840 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 55381095840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280000).

55381095840 is an abundant number, since it is smaller than the sum of its proper divisors (166701464160).

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

55381095840 is a wasteful number, since it uses less digits than its factorization.

55381095840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 55381095840 in words is "fifty-five billion, three hundred eighty-one million, ninety-five thousand, eight hundred forty".