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4652323474064 = 247376719798467
BaseRepresentation
bin100001110110011010000…
…0101101000101010010000
3121110202110102101122021012
41003230310011220222100
51102210424302132224
613521125313550052
7660055625023550
oct103546405505220
917422412348235
104652323474064
111534048351712
12631799875328
13279934999586
14121260733160
158103e67980e
hex43b34168a90

4652323474064 has 160 divisors (see below), whose sum is σ = 10744599444480. Its totient is φ = 1909819067904.

The previous prime is 4652323474061. The next prime is 4652323474069. The reversal of 4652323474064 is 4604743232564.

It is a happy number.

It is a super-2 number, since 2×46523234740642 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4652323474061) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 549461159 + ... + 549469625.

It is an arithmetic number, because the mean of its divisors is an integer number (67153746528).

Almost surely, 24652323474064 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 4652323474064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372299722240).

4652323474064 is an abundant number, since it is smaller than the sum of its proper divisors (6092275970416).

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

4652323474064 is a wasteful number, since it uses less digits than its factorization.

4652323474064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10565 (or 10559 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 50.

The spelling of 4652323474064 in words is "four trillion, six hundred fifty-two billion, three hundred twenty-three million, four hundred seventy-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 67 74 112 134 148 259 268 296 469 518 536 592 938 1036 1072 1876 1979 2072 2479 3752 3958 4144 4958 7504 7916 8467 9916 13853 15832 16934 17353 19832 27706 31664 33868 34706 39664 55412 59269 67736 69412 73223 110824 118538 132593 135472 138824 146446 221648 237076 265186 277648 292892 313279 474152 512561 530372 567289 585784 626558 928151 948304 1025122 1060744 1134578 1171568 1253116 1856302 2050244 2121488 2192953 2269156 2506232 3712604 3971023 4100488 4385906 4538312 4905941 5012464 7425208 7942046 8200976 8771812 9076624 9811882 14850416 15884092 16756193 17543624 19623764 20989693 31768184 33512386 34341587 35087248 39247528 41979386 63536368 67024772 68683174 78495056 83958772 117293351 134049544 137366348 146927851 167917544 234586702 268099088 274732696 293855702 335835088 469173404 549465392 587711404 619979141 938346808 1122664931 1175422808 1239958282 1876693616 2245329862 2350845616 2479916564 4339853987 4490659724 4959833128 7858654517 8679707974 8981319448 9919666256 15717309034 17359415948 17962638896 31434618068 34718831896 41538602447 62869236136 69437663792 83077204894 125738472272 166154409788 290770217129 332308819576 581540434258 664617639152 1163080868516 2326161737032 4652323474064