Search a number
-
+
63040009950 = 232525313120177
BaseRepresentation
bin111010101101011110…
…100011011011011110
320000201100220022102100
4322231132203123132
52013101220304300
644543222105530
74361122146321
oct725536433336
9200640808370
1063040009950
112480a495585
1210273b7b2a6
135c3850c948
1430a05127b8
15198e59b700
hexead7a36de

63040009950 has 144 divisors (see below), whose sum is σ = 173888999856. Its totient is φ = 16366771200.

The previous prime is 63040009939. The next prime is 63040009951. The reversal of 63040009950 is 5990004036.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63040009951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3114262 + ... + 3134438.

It is an arithmetic number, because the mean of its divisors is an integer number (1207562499).

Almost surely, 263040009950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63040009950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86944499928).

63040009950 is an abundant number, since it is smaller than the sum of its proper divisors (110848989906).

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

63040009950 is a wasteful number, since it uses less digits than its factorization.

63040009950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20379 (or 20371 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 63040009950 in words is "sixty-three billion, forty million, nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 106 131 150 159 225 262 265 318 393 450 477 530 655 786 795 954 1179 1310 1325 1590 1965 2358 2385 2650 3275 3930 3975 4770 5895 6550 6943 7950 9825 11790 11925 13886 19650 20177 20829 23850 29475 34715 40354 41658 58950 60531 62487 69430 100885 104145 121062 124974 173575 181593 201770 208290 302655 312435 347150 363186 504425 520725 605310 624870 907965 1008850 1041450 1069381 1513275 1562175 1815930 2138762 2643187 3026550 3124350 3208143 4539825 5286374 5346905 6416286 7929561 9079650 9624429 10693810 13215935 15859122 16040715 19248858 23788683 26431870 26734525 32081430 39647805 47577366 48122145 53469050 66079675 79295610 80203575 96244290 118943415 132159350 140088911 160407150 198239025 237886830 240610725 280177822 396478050 420266733 481221450 594717075 700444555 840533466 1189434150 1260800199 1400889110 2101333665 2521600398 3502222775 4202667330 6304000995 7004445550 10506668325 12608001990 21013336650 31520004975 63040009950