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2506323645140 = 225753727464621
BaseRepresentation
bin100100011110001100100…
…001111101001011010100
322212121021000010000112212
4210132030201331023110
5312030422323121030
65155220021532552
7346035015322550
oct44361441751324
98777230100485
102506323645140
11886a203a3497
123458aa874158
131524648372b3
148944188c860
15452ddd78595
hex2478c87d2d4

2506323645140 has 96 divisors (see below), whose sum is σ = 6137113941504. Its totient is φ = 841936043520.

The previous prime is 2506323645139. The next prime is 2506323645151. The reversal of 2506323645140 is 415463236052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5162030 + ... + 5626650.

It is an arithmetic number, because the mean of its divisors is an integer number (63928270224).

Almost surely, 22506323645140 is an apocalyptic number.

2506323645140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506323645140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068556970752).

2506323645140 is an abundant number, since it is smaller than the sum of its proper divisors (3630790296364).

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

2506323645140 is a wasteful number, since it uses less digits than its factorization.

2506323645140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465417 (or 465415 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 2506323645140 in words is "two trillion, five hundred six billion, three hundred twenty-three million, six hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 727 742 1060 1454 1484 1855 2908 3635 3710 5089 7270 7420 10178 14540 20356 25445 38531 50890 77062 101780 154124 192655 269717 385310 464621 539434 770620 929242 1078868 1348585 1858484 2323105 2697170 3252347 4646210 5394340 6504694 9292420 13009388 16261735 24624913 32523470 49249826 65046940 98499652 123124565 172374391 246249130 337779467 344748782 492498260 675558934 689497564 861871955 1351117868 1688897335 1723743910 2364456269 3377794670 3447487820 4728912538 6755589340 9457825076 11822281345 17902311751 23644562690 35804623502 47289125380 71609247004 89511558755 125316182257 179023117510 250632364514 358046235020 501264729028 626580911285 1253161822570 2506323645140