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145262081088 = 26322313183701
BaseRepresentation
bin1000011101001001001…
…0110111010001000000
3111212221120020021222100
42013102102313101000
54334444043043323
6150422114310400
713331505213405
oct2072222672100
9455846207870
10145262081088
1156672726593
122419bb88400
131090cb03147
1470604322ac
153ba2b96943
hex21d24b7440

145262081088 has 168 divisors, whose sum is σ = 437792262336. Its totient is φ = 45961344000.

The previous prime is 145262081071. The next prime is 145262081093. The reversal of 145262081088 is 880180262541.

145262081088 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 620 + 8 + 10 + 8 + 8 = 666.

It is a super-2 number, since 2×1452620810882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1693638 + ... + 1777338.

Almost surely, 2145262081088 is an apocalyptic number.

145262081088 is a gapful number since it is divisible by the number (18) 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 145262081088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218896131168).

145262081088 is an abundant number, since it is smaller than the sum of its proper divisors (292530181248).

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

145262081088 is a wasteful number, since it uses less digits than its factorization.

145262081088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83873 (or 83860 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 145262081088 in words is "one hundred forty-five billion, two hundred sixty-two million, eighty-one thousand, eighty-eight".