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2597950144992 = 25353510603409
BaseRepresentation
bin100101110011100001111…
…001010100000111100000
3100012100202121112111000110
4211303201321110013200
5320031100214114432
65305252023451320
7355460424606306
oct45634171240740
910170677474013
102597950144992
1191186a145a34
1235b6002b6b40
1315aca7610107
148da547bc276
15478a2ddadcc
hex25ce1e541e0

2597950144992 has 48 divisors (see below), whose sum is σ = 6948291203280. Its totient is φ = 849644070912.

The previous prime is 2597950144991. The next prime is 2597950145009. The reversal of 2597950144992 is 2994410597952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2597950144991) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 255296617 + ... + 255306792.

It is an arithmetic number, because the mean of its divisors is an integer number (144756066735).

Almost surely, 22597950144992 is an apocalyptic number.

It is an amenable number.

2597950144992 is an abundant number, since it is smaller than the sum of its proper divisors (4350341058288).

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

2597950144992 is a wasteful number, since it uses less digits than its factorization.

2597950144992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510603475 (or 510603467 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 66.

The spelling of 2597950144992 in words is "two trillion, five hundred ninety-seven billion, nine hundred fifty million, one hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 510603409 1021206818 1531810227 2042413636 3063620454 4084827272 6127240908 8169654544 12254481816 16339309088 24508963632 27061980677 49017927264 54123961354 81185942031 108247922708 162371884062 216495845416 324743768124 432991690832 649487536248 865983381664 1298975072496 2597950144992