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50900774544 = 243620892
BaseRepresentation
bin101111011001111011…
…000010111010010000
311212101100210021000000
4233121323002322100
51313221044241134
635214500130000
73451240305414
oct573173027220
9155340707000
1050900774544
111a650184324
129a46696900
134a52577b09
14266c20cd44
1514cd9c5e99
hexbd9ec2e90

50900774544 has 105 divisors (see below), whose sum is σ = 147933550713. Its totient is φ = 16958802816.

The previous prime is 50900774513. The next prime is 50900774563. The reversal of 50900774544 is 44547700905.

The square root of 50900774544 is 225612.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44854156944 + 6046617600 = 211788^2 + 77760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 50900774544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 24365052 + ... + 24367140.

Almost surely, 250900774544 is an apocalyptic number.

50900774544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

50900774544 is the 225612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50900774544

50900774544 is an abundant number, since it is smaller than the sum of its proper divisors (97032776169).

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

50900774544 is an frugal number, since it uses more digits than its factorization.

50900774544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 50900774544 in words is "fifty billion, nine hundred million, seven hundred seventy-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2089 2916 3888 4178 5832 6267 8356 11664 12534 16712 18801 25068 33424 37602 50136 56403 75204 100272 112806 150408 169209 225612 300816 338418 451224 507627 676836 902448 1015254 1353672 1522881 2030508 2707344 3045762 4061016 4363921 6091524 8122032 8727842 12183048 13091763 17455684 24366096 26183526 34911368 39275289 52367052 69822736 78550578 104734104 117825867 157101156 209468208 235651734 314202312 353477601 471303468 628404624 706955202 942606936 1060432803 1413910404 1885213872 2120865606 2827820808 3181298409 4241731212 5655641616 6362596818 8483462424 12725193636 16966924848 25450387272 50900774544