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2496920985 = 35513172547
BaseRepresentation
bin1001010011010011…
…1111110110011001
320110000101201200000
42110310333312121
520103202432420
61051433403213
7115606323006
oct22464776631
96400351600
102496920985
1110714a0769
12598269509
1330a3c1b50
1419988c8ad
15e931d690
hex94d3fd99

2496920985 has 144 divisors (see below), whose sum is σ = 5143983936. Its totient is φ = 1154829312.

The previous prime is 2496920977. The next prime is 2496920989. The reversal of 2496920985 is 5890296942.

It is a happy number.

It is not a de Polignac number, because 2496920985 - 23 = 2496920977 is a prime.

It is a super-2 number, since 2×24969209852 = 12469228810666740450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2496920989) 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 143 ways as a sum of consecutive naturals, for example, 4564482 + ... + 4565028.

Almost surely, 22496920985 is an apocalyptic number.

It is an amenable number.

2496920985 is an abundant number, since it is smaller than the sum of its proper divisors (2647062951).

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

2496920985 is a wasteful number, since it uses less digits than its factorization.

2496920985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 2496920985 is about 49969.2003638241. The cubic root of 2496920985 is about 1356.6513972273.

It can be divided in two parts, 24969 and 20985, that added together give a palindrome (45954).

The spelling of 2496920985 in words is "two billion, four hundred ninety-six million, nine hundred twenty thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 81 85 117 135 153 195 221 243 255 289 351 405 459 547 585 663 765 867 1053 1105 1215 1377 1445 1641 1755 1989 2295 2601 2735 3159 3315 3757 4131 4335 4923 5265 5967 6885 7111 7803 8205 9299 9945 11271 13005 14769 15795 17901 18785 20655 21333 23409 24615 27897 29835 33813 35555 39015 44307 46495 53703 56355 63999 70227 73845 83691 89505 101439 106665 117045 120887 132921 139485 158083 169065 191997 221535 251073 268515 304317 319995 351135 362661 418455 474249 507195 575991 604435 664605 753219 790415 912951 959985 1087983 1255365 1422747 1521585 1727973 1813305 2055079 2259657 2371245 2879955 3263949 3766095 4268241 4564755 5439915 6165237 7113735 8639865 9791847 10275395 11298285 12804723 16319745 18495711 21341205 29375541 30826185 38414169 48959235 55487133 64023615 92478555 146877705 166461399 192070845 277435665 499384197 832306995 2496920985