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48379384053 = 33711136726717
BaseRepresentation
bin101101000011101000…
…101101000011110101
311121212122100100111000
4231003220231003311
51243040110242203
634120350033513
73331612656630
oct550350550365
9147778310430
1048379384053
11195769a0330
1294621a8899
134740099390
1424ad3d0c17
1513d24724a3
hexb43a2d0f5

48379384053 has 128 divisors (see below), whose sum is σ = 97672458240. Its totient is φ = 22851797760.

The previous prime is 48379384033. The next prime is 48379384111. The reversal of 48379384053 is 35048397384.

48379384053 is a `hidden beast` number, since 483 + 79 + 3 + 8 + 40 + 53 = 666.

48379384053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48379384053 - 217 = 48379252981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48379384013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1797451 + ... + 1824167.

It is an arithmetic number, because the mean of its divisors is an integer number (763066080).

Almost surely, 248379384053 is an apocalyptic number.

It is an amenable number.

48379384053 is an abundant number, since it is smaller than the sum of its proper divisors (49293074187).

48379384053 is a wasteful number, since it uses less digits than its factorization.

48379384053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26824 (or 26818 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 48379384053 in words is "forty-eight billion, three hundred seventy-nine million, three hundred eighty-four thousand, fifty-three".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 67 77 91 99 117 143 189 201 231 273 297 351 429 469 603 693 737 819 871 1001 1287 1407 1809 2079 2211 2457 2613 3003 3861 4221 5159 6097 6633 7839 9009 9581 12663 15477 18291 19899 23517 26717 27027 28743 46431 54873 67067 80151 86229 139293 164619 187019 201201 240453 258687 293887 347321 561057 603603 721359 881661 1041963 1683171 1790039 1810809 2057209 2431247 2644983 3125889 3820531 5049513 5370117 6171627 7293741 7934949 9377667 11461593 12530273 16110351 18514881 19690429 21881223 23270507 26743717 34384779 37590819 48331053 55544643 59071287 65643669 69811521 80231151 103154337 112772457 137833003 162893549 177213861 209434563 240693453 255975577 338317371 413499009 488680647 531641583 628303689 722080359 767926731 1240497027 1466041941 1791829039 2303780193 3721491081 4398125823 5375487117 6911340579 16126461351 48379384053