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95745481341444 = 2238112174192
BaseRepresentation
bin10101110001010001111011…
…011001110111101000000100
3110120000011211012212100000000
4111301101323121313220010
5100022143221210411234
6535344511130321300
726111245166214534
oct2561217331675004
9416004735770000
1095745481341444
1128564481157300
12a8a4147b89230
1341569b608118c
14199016acd94c4
15b1085de73899
hex57147b677a04

95745481341444 has 1215 divisors, whose sum is σ = 309769180502691. Its totient is φ = 25869873934080.

The previous prime is 95745481341437. The next prime is 95745481341457. The reversal of 95745481341444 is 44414318454759.

The square root of 95745481341444 is 9784962.

It is a perfect power (a square), and thus also a powerful number.

95745481341444 is a `hidden beast` number, since 9 + 5 + 7 + 4 + 5 + 481 + 3 + 4 + 144 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29714905495044 + 66030575846400 = 5451138^2 + 8125920^2 .

It is a super-2 number, since 2×957454813414442 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 5039235860067 + ... + 5039235860085.

Almost surely, 295745481341444 is an apocalyptic number.

95745481341444 is the 9784962-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95745481341444

95745481341444 is an abundant number, since it is smaller than the sum of its proper divisors (214023699161247).

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

95745481341444 is an frugal number, since it uses more digits than its factorization.

95745481341444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 52 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 95745481341444 in words is "ninety-five trillion, seven hundred forty-five billion, four hundred eighty-one million, three hundred forty-one thousand, four hundred forty-four".