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2135949744 = 243304114633
BaseRepresentation
bin111111101010000…
…0000000110110000
312111212011111012210
41333110000012300
513333300342434
6551540452120
7103634162505
oct17724000660
95455144183
102135949744
119a6762725
124b73aa040
13280696cb6
141639674ac
15c77b8ee9
hex7f5001b0

2135949744 has 40 divisors (see below), whose sum is σ = 5520061872. Its totient is φ = 711700480.

The previous prime is 2135949719. The next prime is 2135949757. The reversal of 2135949744 is 4479495312.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2135949693 and 2135949702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138652 + ... + 153284.

Almost surely, 22135949744 is an apocalyptic number.

2135949744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2135949744 is an abundant number, since it is smaller than the sum of its proper divisors (3384112128).

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

2135949744 is a wasteful number, since it uses less digits than its factorization.

2135949744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17685 (or 17679 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 2135949744 is about 46216.3363325134. The cubic root of 2135949744 is about 1287.8452387898.

The spelling of 2135949744 in words is "two billion, one hundred thirty-five million, nine hundred forty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 3041 6082 9123 12164 14633 18246 24328 29266 36492 43899 48656 58532 72984 87798 117064 145968 175596 234128 351192 702384 44498953 88997906 133496859 177995812 266993718 355991624 533987436 711983248 1067974872 2135949744