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50734736000 = 275313243917
BaseRepresentation
bin101111010000000001…
…101010001010000000
311211221210100121221022
4233100001222022000
51312401043023000
635150205245012
73444153066134
oct572001521200
9154853317838
1050734736000
111a575488093
1299bab63768
134a27051960
14265414b3c4
1514be129585
hexbd006a280

50734736000 has 128 divisors (see below), whose sum is σ = 135842812560. Its totient is φ = 18732748800.

The previous prime is 50734735999. The next prime is 50734736083. The reversal of 50734736000 is 63743705.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5760202816 + 44974533184 = 75896^2 + 212072^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86042 + ... + 329958.

Almost surely, 250734736000 is an apocalyptic number.

50734736000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50734736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67921406280).

50734736000 is an abundant number, since it is smaller than the sum of its proper divisors (85108076560).

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

50734736000 is a wasteful number, since it uses less digits than its factorization.

50734736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243959 (or 243937 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 35.

The spelling of 50734736000 in words is "fifty billion, seven hundred thirty-four million, seven hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 640 650 800 832 1000 1040 1300 1600 1625 1664 2000 2080 2600 3200 3250 4000 4160 5200 6500 8000 8320 10400 13000 16000 20800 26000 41600 52000 104000 208000 243917 487834 975668 1219585 1951336 2439170 3170921 3902672 4878340 6097925 6341842 7805344 9756680 12195850 12683684 15610688 15854605 19513360 24391700 25367368 30489625 31221376 31709210 39026720 48783400 50734736 60979250 63418420 78053440 79273025 97566800 101469472 121958500 126836840 156106880 158546050 195133600 202938944 243917000 253673680 317092100 390267200 396365125 405877888 487834000 507347360 634184200 780534400 792730250 975668000 1014694720 1268368400 1585460500 1951336000 2029389440 2536736800 3170921000 3902672000 5073473600 6341842000 10146947200 12683684000 25367368000 50734736000