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145166010336 = 2532504048647
BaseRepresentation
bin1000011100110010010…
…0011000011111100000
3111212200212110101200100
42013030210120133200
54334244444312321
6150404403222400
713326230504634
oct2071444303740
9455625411610
10145166010336
1156623479176
1224173977a00
13108c5c36c49
147051784dc4
153b9951b326
hex21cc9187e0

145166010336 has 36 divisors (see below), whose sum is σ = 412815842712. Its totient is φ = 48388670016.

The previous prime is 145166010329. The next prime is 145166010371. The reversal of 145166010336 is 633010661541.

145166010336 is a `hidden beast` number, since 1 + 4 + 5 + 16 + 601 + 0 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-5 number, since 5×1451660103365 (a number of 57 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145166010336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252024036 + ... + 252024611.

It is an arithmetic number, because the mean of its divisors is an integer number (11467106742).

Almost surely, 2145166010336 is an apocalyptic number.

145166010336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145166010336 is an abundant number, since it is smaller than the sum of its proper divisors (267649832376).

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

145166010336 is a wasteful number, since it uses less digits than its factorization.

145166010336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504048663 (or 504048652 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 145166010336 its reverse (633010661541), we get a palindrome (778176671877).

The spelling of 145166010336 in words is "one hundred forty-five billion, one hundred sixty-six million, ten thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 504048647 1008097294 1512145941 2016194588 3024291882 4032389176 4536437823 6048583764 8064778352 9072875646 12097167528 16129556704 18145751292 24194335056 36291502584 48388670112 72583005168 145166010336