Search a number
-
+
495943254025920 = 2632517192323179771
BaseRepresentation
bin111000011000011101100100…
…1011111000010011011000000
32102000222201020002022210010200
41300300323021133002123000
51010001013241012312140
64514441104032325200
7206314501110220011
oct16060731137023300
92360881202283120
10495943254025920
11134028397757a68
12477591603a3800
131839632c3445cc
148a67ad28b7008
153c5094ec11030
hex1c30ec97c26c0

495943254025920 has 672 divisors, whose sum is σ = 1983906617172480. Its totient is φ = 112793873448960.

The previous prime is 495943254025871. The next prime is 495943254025951. The reversal of 495943254025920 is 29520452349594.

495943254025920 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 4 + 32 + 5 + 4 + 0 + 2 + 592 + 0 = 666.

It is a super-2 number, since 2×4959432540259202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9805635 + ... + 32985405.

It is an arithmetic number, because the mean of its divisors is an integer number (2952241989840).

Almost surely, 2495943254025920 is an apocalyptic number.

495943254025920 is a gapful number since it is divisible by the number (40) 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 495943254025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991953308586240).

495943254025920 is an abundant number, since it is smaller than the sum of its proper divisors (1487963363146560).

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

495943254025920 is a wasteful number, since it uses less digits than its factorization.

495943254025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23179853 (or 23179840 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 495943254025920 in words is "four hundred ninety-five trillion, nine hundred forty-three billion, two hundred fifty-four million, twenty-five thousand, nine hundred twenty".