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145531894336 = 262989881029
BaseRepresentation
bin1000011110001001100…
…0000111101001000000
3111220122100221020011121
42013202120013221000
54341022131104321
6150504553322024
713341262456063
oct2074230075100
9456570836147
10145531894336
11567a0a62244
1224256406314
1310953991c5a
1470881c88da
153bbb6e1441
hex21e2607a40

145531894336 has 56 divisors (see below), whose sum is σ = 302105187000. Its totient is φ = 69467295744.

The previous prime is 145531894331. The next prime is 145531894447. The reversal of 145531894336 is 633498135541.

It can be written as a sum of positive squares in 4 ways, for example, as 32958223936 + 112573670400 = 181544^2 + 335520^2 .

It is not an unprimeable number, because it can be changed into a prime (145531894331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275331 + ... + 605698.

Almost surely, 2145531894336 is an apocalyptic number.

145531894336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145531894336 is an abundant number, since it is smaller than the sum of its proper divisors (156573292664).

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

145531894336 is an equidigital number, since it uses as much as digits as its factorization.

145531894336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881159 (or 881149 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 52.

The spelling of 145531894336 in words is "one hundred forty-five billion, five hundred thirty-one million, eight hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 89 116 178 232 356 464 712 928 1424 1856 2581 2848 5162 5696 10324 20648 41296 82592 165184 881029 1762058 3524116 7048232 14096464 25549841 28192928 51099682 56385856 78411581 102199364 156823162 204398728 313646324 408797456 627292648 817594912 1254585296 1635189824 2273935849 2509170592 4547871698 5018341184 9095743396 18191486792 36382973584 72765947168 145531894336