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149304645264784 = 24372825612
BaseRepresentation
bin100001111100101010110010…
…010110000010010110010000
3201120122101101102212022000111
4201330222302112002112100
5124032201403141433114
61245313335050531104
743306622203056022
oct4174526226022620
9646571342768014
10149304645264784
1143633820984879
12148b42a7736a94
1365404a1907279
1428c2552036012
15123db530abbc4
hex87cab2582590

149304645264784 has 45 divisors (see below), whose sum is σ = 297310974760611. Its totient is φ = 72633812520960.

The previous prime is 149304645264713. The next prime is 149304645264811. The reversal of 149304645264784 is 487462546403941.

The square root of 149304645264784 is 12219028.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 79780266720400 + 69524378544384 = 8931980^2 + 8338128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1808374864 + ... + 1808457424.

It is a 1-persistent number, because it is pandigital, but 2⋅149304645264784 = 298609290529568 is not.

Almost surely, 2149304645264784 is an apocalyptic number.

149304645264784 is the 12219028-th square number.

It is an amenable number.

149304645264784 is a deficient number, since it is larger than the sum of its proper divisors (148006329495827).

149304645264784 is an frugal number, since it uses more digits than its factorization.

149304645264784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165204 (or 82600 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 67.

The spelling of 149304645264784 in words is "one hundred forty-nine trillion, three hundred four billion, six hundred forty-five million, two hundred sixty-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 37 74 148 296 592 1369 2738 5476 10952 21904 82561 165122 330244 660488 1320976 3054757 6109514 12219028 24438056 48876112 113026009 226052018 452104036 904208072 1808416144 6816318721 13632637442 27265274884 54530549768 109061099536 252203792677 504407585354 1008815170708 2017630341416 4035260682832 9331540329049 18663080658098 37326161316196 74652322632392 149304645264784