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48328656216960 = 273573595882159
BaseRepresentation
bin10101111110100011001000…
…11000101110001110000000
320100010011201010222002111210
422333101210120232032000
522313304041442420320
6250441513403410120
713115426103601440
oct1277214430561600
9210104633862453
1048328656216960
1114443082566539
125506501223940
1320c74acb57c02
14bd1195a68120
1558c214ecc0e0
hex2bf46462e380

48328656216960 has 128 divisors (see below), whose sum is σ = 176054390553600. Its totient is φ = 11046549989376.

The previous prime is 48328656216901. The next prime is 48328656216961. The reversal of 48328656216960 is 6961265682384.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 48328656216891 and 48328656216900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48328656216961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1797927640 + ... + 1797954519.

It is an arithmetic number, because the mean of its divisors is an integer number (1375424926200).

Almost surely, 248328656216960 is an apocalyptic number.

48328656216960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48328656216960 is an abundant number, since it is smaller than the sum of its proper divisors (127725734336640).

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

48328656216960 is a wasteful number, since it uses less digits than its factorization.

48328656216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595882188 (or 3595882176 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 66.

The spelling of 48328656216960 in words is "forty-eight trillion, three hundred twenty-eight billion, six hundred fifty-six million, two hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 3595882159 7191764318 10787646477 14383528636 17979410795 21575292954 25171175113 28767057272 35958821590 43150585908 50342350226 53938232385 57534114544 71917643180 75513525339 86301171816 100684700452 107876464770 115068229088 125855875565 143835286360 151027050678 172602343632 201369400904 215752929540 230136458176 251711751130 287670572720 302054101356 345204687264 377567626695 402738801808 431505859080 460272916352 503423502260 575341145440 604108202712 690409374528 755135253390 805477603616 863011718160 1006847004520 1150682290880 1208216405424 1380818749056 1510270506780 1610955207232 1726023436320 2013694009040 2301364581760 2416432810848 3020541013560 3221910414464 3452046872640 4027388018080 4832865621696 6041082027120 6904093745280 8054776036160 9665731243392 12082164054240 16109552072320 24164328108480 48328656216960