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2135974848 = 26374193793
BaseRepresentation
bin111111101010000…
…0110001111000000
312111212012202122120
41333110012033000
513333302143343
6551541204240
7103634325630
oct17724061700
95455182576
102135974848
119a677a577
124b7400680
132806a5557
141639726c0
15c77c1683
hex7f5063c0

2135974848 has 112 divisors (see below), whose sum is σ = 6475902720. Its totient is φ = 608661504.

The previous prime is 2135974717. The next prime is 2135974859. The reversal of 2135974848 is 8484795312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2135974848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561240 + ... + 565032.

It is an arithmetic number, because the mean of its divisors is an integer number (57820560).

Almost surely, 22135974848 is an apocalyptic number.

2135974848 is a gapful number since it is divisible by the number (28) 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 2135974848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237951360).

2135974848 is an abundant number, since it is smaller than the sum of its proper divisors (4339927872).

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

2135974848 is a wasteful number, since it uses less digits than its factorization.

2135974848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234 (or 4224 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 2135974848 is about 46216.6079239920. The cubic root of 2135974848 is about 1287.8502841551.

The spelling of 2135974848 in words is "two billion, one hundred thirty-five million, nine hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 419 448 672 838 1257 1344 1676 2514 2933 3352 3793 5028 5866 6704 7586 8799 10056 11379 11732 13408 15172 17598 20112 22758 23464 26551 26816 30344 35196 40224 45516 46928 53102 60688 70392 79653 80448 91032 93856 106204 121376 140784 159306 182064 187712 212408 242752 281568 318612 364128 424816 563136 637224 728256 849632 1274448 1589267 1699264 2548896 3178534 4767801 5097792 6357068 9535602 11124869 12714136 19071204 22249738 25428272 33374607 38142408 44499476 50856544 66749214 76284816 88998952 101713088 133498428 152569632 177997904 266996856 305139264 355995808 533993712 711991616 1067987424 2135974848