Search a number
-
+
551534685750720 = 26335722944922613
BaseRepresentation
bin111110101100111100010110…
…1000001101000010111000000
32200022211012102112201202021000
41331121320231001220113000
51034242321014023010340
65233003311540532000
7224113031444263200
oct17531705501502700
92608735375652230
10551534685750720
1114a810601699131
1251a3714a3b1000
131a8996615a73c9
149a2a5c7b98400
1543b6a39ab1d30
hex1f59e2d0685c0

551534685750720 has 672 divisors, whose sum is σ = 2341402579771200. Its totient is φ = 121717996904448.

The previous prime is 551534685750707. The next prime is 551534685750731. The reversal of 551534685750720 is 27057586435155.

551534685750720 is a `hidden beast` number, since 5 + 5 + 1 + 5 + 3 + 46 + 85 + 7 + 507 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×5515346857507202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 10183867 + ... + 34738746.

Almost surely, 2551534685750720 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 551534685750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170701289885600).

551534685750720 is an abundant number, since it is smaller than the sum of its proper divisors (1789867894020480).

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

551534685750720 is a wasteful number, since it uses less digits than its factorization.

551534685750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44922682 (or 44922659 counting only the distinct ones).

The product of its (nonzero) digits is 176400000, while the sum is 63.

The spelling of 551534685750720 in words is "five hundred fifty-one trillion, five hundred thirty-four billion, six hundred eighty-five million, seven hundred fifty thousand, seven hundred twenty".