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49872269041 = 726125232
BaseRepresentation
bin101110011100100111…
…100110111011110001
311202201200110202200121
4232130213212323301
51304114300102131
634524435450241
73413611202200
oct563447467361
9152650422617
1049872269041
111a172660981
1297ba156981
13491a469c8a
1425b17a1237
15146d563911
hexb9c9e6ef1

49872269041 has 27 divisors (see below), whose sum is σ = 59094322443. Its totient is φ = 41966482320.

The previous prime is 49872269033. The next prime is 49872269047. The reversal of 49872269041 is 14096227894.

The square root of 49872269041 is 223321.

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., 1621753441 + 48250515600 = 40271^2 + 219660^2 .

It is not a de Polignac number, because 49872269041 - 23 = 49872269033 is a prime.

It is a super-3 number, since 3×498722690413 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 49872269041.

It is not an unprimeable number, because it can be changed into a prime (49872269047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95357806 + ... + 95358328.

It is an arithmetic number, because the mean of its divisors is an integer number (2188678609).

Almost surely, 249872269041 is an apocalyptic number.

49872269041 is the 223321-st square number.

49872269041 is the 111661-st centered octagonal number.

It is an amenable number.

49872269041 is a deficient number, since it is larger than the sum of its proper divisors (9222053402).

49872269041 is an frugal number, since it uses more digits than its factorization.

49872269041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 49872269041 in words is "forty-nine billion, eight hundred seventy-two million, two hundred sixty-nine thousand, forty-one".

Divisors: 1 7 49 61 427 523 2989 3661 3721 25627 26047 31903 182329 223321 273529 1563247 1914703 1946083 13402921 13622581 16685269 95358067 116796883 817578181 1017801409 7124609863 49872269041