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49010290540225 = 5272139214392
BaseRepresentation
bin10110010010011000110001…
…11101010011111011000001
320102112100010102012110001021
423021030120331103323001
522410441033334241400
6252123003332505441
713215606455004100
oct1311143075237301
9212470112173037
1049010290540225
11146861693503a3
1255b663317b281
13214685c3ac9c1
14c16179b54037
1559ed0ba4771a
hex2c9318f53ec1

49010290540225 has 81 divisors (see below), whose sum is σ = 71256616665507. Its totient is φ = 33342092552160.

The previous prime is 49010290540201. The next prime is 49010290540229. The reversal of 49010290540225 is 52204509201094.

The square root of 49010290540225 is 7000735.

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

49010290540225 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., 17643704594481 + 31366585945744 = 4200441^2 + 5600588^2 .

It is not a de Polignac number, because 49010290540225 - 211 = 49010290538177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (49010290540229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 34058575056 + ... + 34058576494.

Almost surely, 249010290540225 is an apocalyptic number.

49010290540225 is the 7000735-th square number.

49010290540225 is the 3500368-th centered octagonal number.

It is an amenable number.

49010290540225 is a deficient number, since it is larger than the sum of its proper divisors (22246326125282).

49010290540225 is an frugal number, since it uses more digits than its factorization.

49010290540225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 49010290540225 in words is "forty-nine trillion, ten billion, two hundred ninety million, five hundred forty thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 139 175 245 695 973 1225 1439 3475 4865 6811 7195 10073 19321 24325 34055 35975 50365 70511 96605 135247 170275 200021 251825 352555 483025 676235 946729 1000105 1400147 1762775 2070721 3381175 4733645 5000525 7000735 9801029 10353605 14495047 23668225 27802919 35003675 49005145 51768025 72475235 101465329 139014595 194620433 245025725 287830219 362376175 507326645 695072975 973102165 1362343031 1439151095 2014811533 2536633225 4865510825 6811715155 7195755475 10074057665 14103680731 34058575775 40008400441 50370288325 70518403655 200042002205 280058803087 352592018275 1000210011025 1400294015435 1960411621609 7001470077175 9802058108045 49010290540225