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147872271488 = 274128292
BaseRepresentation
bin1000100110110111011…
…1111100110010000000
3112010200110202201001212
42021231313330302000
54410320300141423
6151533115545252
713453261366064
oct2115567746200
9463613681055
10147872271488
1157792051237
12247aa15b228
1310c378034c6
14722ad67aa4
153ca6ddb578
hex226ddfcc80

147872271488 has 72 divisors (see below), whose sum is σ = 302314314915. Its totient is φ = 72045803520.

The previous prime is 147872271461. The next prime is 147872271493. The reversal of 147872271488 is 884172278741.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

147872271488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 12689571904 + 135182699584 = 112648^2 + 367672^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=271912.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 178373858 + ... + 178374686.

Almost surely, 2147872271488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147872271488

147872271488 is an abundant number, since it is smaller than the sum of its proper divisors (154442043427).

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

147872271488 is an frugal number, since it uses more digits than its factorization.

147872271488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 872 counting only the distinct ones).

The product of its digits is 11239424, while the sum is 59.

The spelling of 147872271488 in words is "one hundred forty-seven billion, eight hundred seventy-two million, two hundred seventy-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 829 1312 1658 1681 2624 3316 3362 5248 6632 6724 13264 13448 26528 26896 33989 53056 53792 67978 106112 107584 135956 215168 271912 543824 687241 1087648 1374482 1393549 2175296 2748964 2787098 4350592 5497928 5574196 10995856 11148392 21991712 22296784 28176881 43983424 44593568 56353762 87966848 89187136 112707524 178374272 225415048 450830096 901660192 1155252121 1803320384 2310504242 3606640768 4621008484 9242016968 18484033936 36968067872 73936135744 147872271488