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50095427040 = 25325131265561
BaseRepresentation
bin101110101001111010…
…111000110111100000
311210022020101100220200
4232221322320313200
51310043412131130
635002530505200
73422261050461
oct565172706740
9153266340820
1050095427040
111a27762087a
129860a35200
134954771c29
1425d3290d68
151482e44760
hexba9eb8de0

50095427040 has 144 divisors (see below), whose sum is σ = 172256260176. Its totient is φ = 13256755200.

The previous prime is 50095427029. The next prime is 50095427077. The reversal of 50095427040 is 4072459005.

50095427040 is a `hidden beast` number, since 5 + 0 + 0 + 9 + 542 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 50095426986 and 50095427004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55860 + ... + 321420.

It is an arithmetic number, because the mean of its divisors is an integer number (1196224029).

Almost surely, 250095427040 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 50095427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86128130088).

50095427040 is an abundant number, since it is smaller than the sum of its proper divisors (122160833136).

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

50095427040 is a wasteful number, since it uses less digits than its factorization.

50095427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265713 (or 265702 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 50095427040 in words is "fifty billion, ninety-five million, four hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 131 144 160 180 240 262 288 360 393 480 524 655 720 786 1048 1179 1310 1440 1572 1965 2096 2358 2620 3144 3930 4192 4716 5240 5895 6288 7860 9432 10480 11790 12576 15720 18864 20960 23580 31440 37728 47160 62880 94320 188640 265561 531122 796683 1062244 1327805 1593366 2124488 2390049 2655610 3186732 3983415 4248976 4780098 5311220 6373464 7966830 8497952 9560196 10622440 11950245 12746928 15933660 19120392 21244880 23900490 25493856 31867320 34788491 38240784 42489760 47800980 63734640 69576982 76481568 95601960 104365473 127469280 139153964 173942455 191203920 208730946 278307928 313096419 347884910 382407840 417461892 521827365 556615856 626192838 695769820 834923784 1043654730 1113231712 1252385676 1391539640 1565482095 1669847568 2087309460 2504771352 2783079280 3130964190 3339695136 4174618920 5009542704 5566158560 6261928380 8349237840 10019085408 12523856760 16698475680 25047713520 50095427040