Search a number
-
+
550748192007936 = 28313616907130927
BaseRepresentation
bin111110100111001110000111…
…0010110000110011100000000
32200020001000100102222222002010
41331032130032112012130000
51034141424244123223221
65231202120534252520
7224002146421623306
oct17516341626063400
92606030312888063
10550748192007936
1114a537aa645a38a
125192a8331b7140
131a840440865910
149a004d7502276
1543a13573c3c76
hex1f4e70e586700

550748192007936 has 288 divisors, whose sum is σ = 1604669061495808. Its totient is φ = 166657527889920.

The previous prime is 550748192007863. The next prime is 550748192007971. The reversal of 550748192007936 is 639700291847055.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4206463305 + ... + 4206594231.

It is a 2-persistent number, because it is pandigital, and so is 2⋅550748192007936 = 1101496384015872, but 3⋅550748192007936 = 1652244576023808 is not.

Almost surely, 2550748192007936 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 550748192007936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802334530747904).

550748192007936 is an abundant number, since it is smaller than the sum of its proper divisors (1053920869487872).

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

550748192007936 is a wasteful number, since it uses less digits than its factorization.

550748192007936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137927 (or 137913 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 66.

The spelling of 550748192007936 in words is "five hundred fifty trillion, seven hundred forty-eight billion, one hundred ninety-two million, seven thousand, nine hundred thirty-six".