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147509500516 = 22740158722381
BaseRepresentation
bin1000100101100001000…
…0000101101001100100
3112002202012011000211221
42021120100011221210
54404044413004031
6151433120310124
713441265031550
oct2113020055144
9462665130757
10147509500516
11576162a4014
1224708772344
1310baa5c8421
1471d4ad4860
153c8512da11
hex2258405a64

147509500516 has 48 divisors (see below), whose sum is σ = 296271787392. Its totient is φ = 62950464000.

The previous prime is 147509500507. The next prime is 147509500553. The reversal of 147509500516 is 615005905741.

147509500516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6579646 + ... + 6602026.

It is an arithmetic number, because the mean of its divisors is an integer number (6172328904).

Almost surely, 2147509500516 is an apocalyptic number.

It is an amenable number.

147509500516 is an abundant number, since it is smaller than the sum of its proper divisors (148762286876).

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

147509500516 is a wasteful number, since it uses less digits than its factorization.

147509500516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23380 (or 23378 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 43.

It can be divided in two parts, 147509 and 500516, that added together give a square (648025 = 8052).

The spelling of 147509500516 in words is "one hundred forty-seven billion, five hundred nine million, five hundred thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 401 587 802 1174 1604 2348 2807 4109 5614 8218 11228 16436 22381 44762 89524 156667 235387 313334 470774 626668 941548 1647709 3295418 6590836 8974781 13137647 17949562 26275294 35899124 52550588 62823467 91963529 125646934 183927058 251293868 367854116 5268196447 10536392894 21072785788 36877375129 73754750258 147509500516