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49553431236 = 22348321492
BaseRepresentation
bin101110001001100111…
…010101101011000100
311201220110112010110000
4232021213111223010
51302441134244421
634433050001300
73402660134001
oct561147255304
9151813463400
1049553431236
111a019690361
12972b416230
1348993a4a5a
1425812c68a8
151450583226
hexb899d5ac4

49553431236 has 135 divisors (see below), whose sum is σ = 132007933981. Its totient is φ = 16209278496.

The previous prime is 49553431201. The next prime is 49553431237. The reversal of 49553431236 is 63213435594.

The square root of 49553431236 is 222606.

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

49553431236 is a `hidden beast` number, since 4 + 95 + 534 + 3 + 1 + 23 + 6 = 666.

49553431236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5805525636 + 43747905600 = 76194^2 + 209160^2 .

It is a Duffinian number.

Its product of digits (1166400) is a multiple of the sum of its prime factors (480).

It is a junction number, because it is equal to n+sod(n) for n = 49553431191 and 49553431200.

It is not an unprimeable number, because it can be changed into a prime (49553431237) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 332573290 + ... + 332573438.

Almost surely, 249553431236 is an apocalyptic number.

49553431236 is the 222606-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49553431236

49553431236 is an abundant number, since it is smaller than the sum of its proper divisors (82454502745).

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

49553431236 is an equidigital number, since it uses as much as digits as its factorization.

49553431236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 237 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 49553431236 in words is "forty-nine billion, five hundred fifty-three million, four hundred thirty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 149 162 166 249 298 324 332 447 498 596 747 894 996 1341 1494 1788 2241 2682 2988 4023 4482 5364 6723 6889 8046 8964 12069 12367 13446 13778 16092 20667 22201 24138 24734 26892 27556 37101 41334 44402 48276 49468 62001 66603 74202 82668 88804 111303 124002 133206 148404 186003 199809 222606 248004 266412 333909 372006 399618 445212 558009 599427 667818 744012 799236 1001727 1026461 1116018 1198854 1335636 1798281 1842683 2003454 2052922 2232036 2397708 3079383 3596562 3685366 4006908 4105844 5528049 6158766 7193124 7370732 9238149 11056098 12317532 16584147 18476298 22112196 27714447 33168294 36952596 49752441 55428894 66336588 83143341 99504882 110857788 149257323 152942689 166286682 199009764 298514646 305885378 332573364 458828067 597029292 611770756 917656134 1376484201 1835312268 2752968402 4129452603 5505936804 8258905206 12388357809 16517810412 24776715618 49553431236