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50434550240 = 2553536771319
BaseRepresentation
bin101110111110001000…
…100010100111100000
311211011212111121111012
4232332020202213200
51311242221101430
635100323240052
73433546414034
oct567610424740
9154155447435
1050434550240
111a430a97088
129936519028
1349a9aba449
14262632a1c4
1514a2ad0695
hexbbe2229e0

50434550240 has 96 divisors (see below), whose sum is σ = 119756387520. Its totient is φ = 20071727104.

The previous prime is 50434550143. The next prime is 50434550251. The reversal of 50434550240 is 4205543405.

It is a super-2 number, since 2×504345502402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 50434550197 and 50434550206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38236301 + ... + 38237619.

It is an arithmetic number, because the mean of its divisors is an integer number (1247462370).

Almost surely, 250434550240 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 50434550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59878193760).

50434550240 is an abundant number, since it is smaller than the sum of its proper divisors (69321837280).

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

50434550240 is a wasteful number, since it uses less digits than its factorization.

50434550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The spelling of 50434550240 in words is "fifty billion, four hundred thirty-four million, five hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 353 677 706 1319 1354 1412 1765 2638 2708 2824 3385 3530 5276 5416 5648 6595 6770 7060 10552 10832 11296 13190 13540 14120 21104 21664 26380 27080 28240 42208 52760 54160 56480 105520 108320 211040 238981 465607 477962 892963 931214 955924 1194905 1785926 1862428 1911848 2328035 2389810 3571852 3724856 3823696 4464815 4656070 4779620 7143704 7449712 7647392 8929630 9312140 9559240 14287408 14899424 17859260 18624280 19118480 28574816 35718520 37248560 38236960 71437040 74497120 142874080 315215939 630431878 1260863756 1576079695 2521727512 3152159390 5043455024 6304318780 10086910048 12608637560 25217275120 50434550240