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424756228050 = 2345274112192
BaseRepresentation
bin1100010111001010111…
…00011010111111010010
31111121100222210001120000
412023211130122333102
523424400043244200
6523044052030430
742454566240000
oct6134534327722
91447328701500
10424756228050
111541578a9a00
126a3a2002416
1331092502bab
14167b6011a70
15b0aeeb7300
hex62e571afd2

424756228050 has 1350 divisors, whose sum is σ = 1597195376469. Its totient is φ = 83615716800.

The previous prime is 424756228037. The next prime is 424756228063. The reversal of 424756228050 is 50822657424.

424756228050 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 562 + 2 + 80 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (424756228037) and next prime (424756228063).

It can be written as a sum of positive squares in 2 ways, for example, as 416261103489 + 8495124561 = 645183^2 + 92169^2 .

It is a tau number, because it is divible by the number of its divisors (1350).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=460845.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 424756227987 and 424756228005.

It is an unprimeable number.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 22355590941 + ... + 22355590959.

Almost surely, 2424756228050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424756228050

424756228050 is an abundant number, since it is smaller than the sum of its proper divisors (1172439148419).

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

424756228050 is a wasteful number, since it uses less digits than its factorization.

424756228050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 424756228050 in words is "four hundred twenty-four billion, seven hundred fifty-six million, two hundred twenty-eight thousand, fifty".