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50142779736 = 23372813473061
BaseRepresentation
bin101110101100101111…
…100001100101011000
311210102112111010121020
4232230233201211120
51310143022422421
635011341442440
73423404411130
oct565457414530
9153375433536
1050142779736
111a2a1323635
129874870420
13496151138a
1425d9699ac0
151487199dc6
hexbacbe1958

50142779736 has 128 divisors (see below), whose sum is σ = 144236367360. Its totient is φ = 14229734400.

The previous prime is 50142779693. The next prime is 50142779747. The reversal of 50142779736 is 63797724105.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 16379646 + ... + 16382706.

It is an arithmetic number, because the mean of its divisors is an integer number (1126846620).

Almost surely, 250142779736 is an apocalyptic number.

50142779736 is a gapful number since it is divisible by the number (56) 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 50142779736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72118183680).

50142779736 is an abundant number, since it is smaller than the sum of its proper divisors (94093587624).

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

50142779736 is a wasteful number, since it uses less digits than its factorization.

50142779736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The spelling of 50142779736 in words is "fifty billion, one hundred forty-two million, seven hundred seventy-nine thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 281 347 562 694 843 1041 1124 1388 1686 1967 2082 2248 2429 2776 3061 3372 3934 4164 4858 5901 6122 6744 7287 7868 8328 9183 9716 11802 12244 14574 15736 18366 19432 21427 23604 24488 29148 36732 42854 47208 58296 64281 73464 85708 97507 128562 171416 195014 257124 292521 390028 514248 585042 682549 780056 860141 1062167 1170084 1365098 1720282 2047647 2124334 2340168 2580423 2730196 3186501 3440564 4095294 4248668 5160846 5460392 6020987 6373002 6881128 7435169 8190588 8497336 10321692 12041974 12746004 14870338 16381176 18062961 20643384 22305507 24083948 25492008 29740676 36125922 44611014 48167896 59481352 72251844 89222028 144503688 178444056 298468927 596937854 895406781 1193875708 1790813562 2089282489 2387751416 3581627124 4178564978 6267847467 7163254248 8357129956 12535694934 16714259912 25071389868 50142779736