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523427312017050 = 235273175989211619
BaseRepresentation
bin111011100000011011110101…
…0111111111001111010011010
32112122022011101100021000111020
41313000313222333321322122
51022101313113334021200
65053123104302543310
7215152242512450520
oct16700675277717232
92478264340230436
10523427312017050
11141864304a035a1
124a857877897b36
131960aca3340c8c
149338034bd6310
15407a82b53aea0
hex1dc0deaff9e9a

523427312017050 has 192 divisors, whose sum is σ = 1531426153881600. Its totient is φ = 115779085804800.

The previous prime is 523427312017037. The next prime is 523427312017061. The reversal of 523427312017050 is 50710213724325.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 523427312016993 and 523427312017011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2473336141 + ... + 2473547759.

It is an arithmetic number, because the mean of its divisors is an integer number (7976177884800).

Almost surely, 2523427312017050 is an apocalyptic number.

523427312017050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 523427312017050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765713076940800).

523427312017050 is an abundant number, since it is smaller than the sum of its proper divisors (1007998841864550).

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

523427312017050 is a wasteful number, since it uses less digits than its factorization.

523427312017050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287661 (or 287656 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 523427312017050 in words is "five hundred twenty-three trillion, four hundred twenty-seven billion, three hundred twelve million, seventeen thousand, fifty".