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145284984360 = 233254753162011
BaseRepresentation
bin1000011101001110101…
…0001110111000101000
3111220000011022220100200
42013103222032320220
54340020423444420
6150424253232200
713332203663655
oct2072352167050
9456004286320
10145284984360
115668464a10a
12241a7792660
1310914791b89
1470634b4c2c
153ba4bbcb90
hex21d3a8ee28

145284984360 has 192 divisors, whose sum is σ = 491324071680. Its totient is φ = 37202680320.

The previous prime is 145284984359. The next prime is 145284984409. The reversal of 145284984360 is 63489482541.

145284984360 is a `hidden beast` number, since 1 + 4 + 52 + 8 + 498 + 43 + 60 = 666.

It is a super-2 number, since 2×1452849843602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145284984297 and 145284984306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 815755 + ... + 977765.

It is an arithmetic number, because the mean of its divisors is an integer number (2558979540).

Almost surely, 2145284984360 is an apocalyptic number.

145284984360 is a gapful number since it is divisible by the number (10) 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 145284984360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245662035840).

145284984360 is an abundant number, since it is smaller than the sum of its proper divisors (346039087320).

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

145284984360 is a wasteful number, since it uses less digits than its factorization.

145284984360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162128 (or 162121 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 145284984360 in words is "one hundred forty-five billion, two hundred eighty-four million, nine hundred eighty-four thousand, three hundred sixty".