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147138740672 = 26711116325673
BaseRepresentation
bin1000100100001000100…
…1110000000111000000
3112001210100111110221212
42021002021300013000
54402320004200142
6151332233505252
713426143442220
oct2110211600700
9461710443855
10147138740672
1157445a8a720
1224624572228
1310b4b853cc1
14719b782080
153c627e3d82
hex22422701c0

147138740672 has 112 divisors (see below), whose sum is σ = 364352262912. Its totient is φ = 57275258880.

The previous prime is 147138740657. The next prime is 147138740681. The reversal of 147138740672 is 276047831741.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1471387406723 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 147138740672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5718428 + ... + 5744100.

Almost surely, 2147138740672 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 147138740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182176131456).

147138740672 is an abundant number, since it is smaller than the sum of its proper divisors (217213522240).

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

147138740672 is a wasteful number, since it uses less digits than its factorization.

147138740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26866 (or 26856 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 50.

The spelling of 147138740672 in words is "one hundred forty-seven billion, one hundred thirty-eight million, seven hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1163 1232 2326 2464 4652 4928 8141 9304 12793 16282 18608 25586 25673 32564 37216 51172 51346 65128 74432 89551 102344 102692 130256 179102 179711 204688 205384 260512 282403 358204 359422 409376 410768 521024 564806 716408 718844 818752 821536 1129612 1432816 1437688 1643072 1976821 2259224 2865632 2875376 3953642 4518448 5731264 5750752 7907284 9036896 11501504 15814568 18073792 29857699 31629136 59715398 63258272 119430796 126516544 209003893 238861592 328434689 418007786 477723184 656869378 836015572 955446368 1313738756 1672031144 1910892736 2299042823 2627477512 3344062288 4598085646 5254955024 6688124576 9196171292 10509910048 13376249152 18392342584 21019820096 36784685168 73569370336 147138740672