Search a number
-
+
48179385044928 = 2632214139068083
BaseRepresentation
bin10101111010001101000110…
…01000011000111111000000
320022120220102011220212122200
422331012203020120333000
522303332340032414203
6250245145352233200
713101563034556164
oct1275064310307700
9208526364825580
1048179385044928
1114395842907655
1254a15a269b800
1320b63b159c507
14bc7c74dd6ca4
155883ca3b69a3
hex2bd1a3218fc0

48179385044928 has 84 divisors (see below), whose sum is σ = 138162013117128. Its totient is φ = 16052293532160.

The previous prime is 48179385044887. The next prime is 48179385045059. The reversal of 48179385044928 is 82944058397184.

It is a happy number.

48179385044928 is a `hidden beast` number, since 4 + 8 + 1 + 7 + 93 + 8 + 504 + 4 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18300826 + ... + 20767257.

It is an arithmetic number, because the mean of its divisors is an integer number (1644785870442).

Almost surely, 248179385044928 is an apocalyptic number.

48179385044928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48179385044928 is an abundant number, since it is smaller than the sum of its proper divisors (89982628072200).

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

48179385044928 is a wasteful number, since it uses less digits than its factorization.

48179385044928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39070242 (or 39070229 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 48179385044928 in words is "forty-eight trillion, one hundred seventy-nine billion, three hundred eighty-five million, forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2141 4282 6423 8564 12846 17128 19269 25692 34256 38538 51384 68512 77076 102768 137024 154152 205536 308304 411072 616608 1233216 39068083 78136166 117204249 156272332 234408498 312544664 351612747 468816996 625089328 703225494 937633992 1250178656 1406450988 1875267984 2500357312 2812901976 3750535968 5625803952 7501071936 11251607904 22503215808 83644765703 167289531406 250934297109 334579062812 501868594218 669158125624 752802891327 1003737188436 1338316251248 1505605782654 2007474376872 2676632502496 3011211565308 4014948753744 5353265004992 6022423130616 8029897507488 12044846261232 16059795014976 24089692522464 48179385044928