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1290082122644 = 227295519287873
BaseRepresentation
bin10010110001011110111…
…000101111101110010100
311120022221001010002012012
4102301132320233232110
5132114042010411034
62424353333043352
7162130303053140
oct22613670575624
94508831102165
101290082122644
114581367a9137
1218a039a86558
1394867431563
14466242c2220
1523858389cce
hex12c5ee2fb94

1290082122644 has 48 divisors (see below), whose sum is σ = 2669628326400. Its totient is φ = 533728505856.

The previous prime is 1290082122643. The next prime is 1290082122671. The reversal of 1290082122644 is 4462212800921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290082122643) 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 15 ways as a sum of consecutive naturals, for example, 4337492 + ... + 4625364.

It is an arithmetic number, because the mean of its divisors is an integer number (55617256800).

Almost surely, 21290082122644 is an apocalyptic number.

1290082122644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1290082122644 is an abundant number, since it is smaller than the sum of its proper divisors (1379546203756).

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

1290082122644 is a wasteful number, since it uses less digits than its factorization.

1290082122644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293432 (or 293430 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 1290082122644 in words is "one trillion, two hundred ninety billion, eighty-two million, one hundred twenty-two thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 5519 11038 22076 38633 77266 154532 160051 287873 320102 575746 640204 1120357 1151492 2015111 2240714 4030222 4481428 8060444 8348317 16696634 33393268 58438219 116876438 233752876 1588771087 3177542174 6355084348 11121397609 22242795218 44485590436 46074361523 92148723046 184297446092 322520530661 645041061322 1290082122644