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381268648371 = 313611795091759
BaseRepresentation
bin1011000110001010110…
…00011110000110110011
31100110010021020010010210
411203011120132012303
522221314233221441
6451052530155203
736355123016262
oct5430530360663
91313107203123
10381268648371
11137771237706
1261a86122b03
1329c51a42420
141464c59a5d9
159db7228616
hex58c561e1b3

381268648371 has 64 divisors (see below), whose sum is σ = 560964096000. Its totient is φ = 228910164480.

The previous prime is 381268648363. The next prime is 381268648391. The reversal of 381268648371 is 173846862183.

It is not a de Polignac number, because 381268648371 - 23 = 381268648363 is a prime.

It is a super-4 number, since 4×3812686483714 (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (381268648391) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 216752190 + ... + 216753948.

It is an arithmetic number, because the mean of its divisors is an integer number (8765064000).

Almost surely, 2381268648371 is an apocalyptic number.

381268648371 is a deficient number, since it is larger than the sum of its proper divisors (179695447629).

381268648371 is a wasteful number, since it uses less digits than its factorization.

381268648371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524.

The product of its digits is 9289728, while the sum is 57.

The spelling of 381268648371 in words is "three hundred eighty-one billion, two hundred sixty-eight million, six hundred forty-eight thousand, three hundred seventy-one".

Divisors: 1 3 13 39 61 179 183 509 537 793 1527 1759 2327 2379 5277 6617 6981 10919 19851 22867 31049 32757 68601 91111 93147 107299 141947 273333 314861 321897 403637 425841 895331 944583 1184443 1210911 1394887 2685993 3553329 4093193 4184661 5557771 11639303 12279579 16673313 19206521 34917909 54615191 57619563 72251023 160264249 163845573 216753069 249684773 480792747 709997483 749054319 2083435237 2129992449 6250305711 9776119189 29328357567 127089549457 381268648371