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145729002095872 = 281343788762649
BaseRepresentation
bin100001001000101000101101…
…011001110100010100000000
3201002222120000201102012000021
4201020220231121310110000
5123100110444014031442
61233534551312303224
742460400344442146
oct4110505531642400
9632876021365007
10145729002095872
1142485360599278
121441730bb41b14
136341255651770
1427db46da5d596
1511cab2bec3e67
hex848a2d674500

145729002095872 has 36 divisors (see below), whose sum is σ = 313264807998100. Its totient is φ = 67259539427328.

The previous prime is 145729002095701. The next prime is 145729002095881. The reversal of 145729002095872 is 278590200927541.

It can be written as a sum of positive squares in 2 ways, for example, as 9794296013056 + 135934706082816 = 3129584^2 + 11659104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145729002095872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21894377997 + ... + 21894384652.

Almost surely, 2145729002095872 is an apocalyptic number.

It is an amenable number.

145729002095872 is an abundant number, since it is smaller than the sum of its proper divisors (167535805902228).

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

145729002095872 is an equidigital number, since it uses as much as digits as its factorization.

145729002095872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43788762678 (or 43788762664 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 61.

The spelling of 145729002095872 in words is "one hundred forty-five trillion, seven hundred twenty-nine billion, two million, ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 43788762649 87577525298 175155050596 350310101192 569253914437 700620202384 1138507828874 1401240404768 2277015657748 2802480809536 4554031315496 5604961619072 9108062630992 11209923238144 18216125261984 36432250523968 72864501047936 145729002095872