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2474034912 = 2532531091487
BaseRepresentation
bin1001001101110110…
…1100011011100000
320101102022222212200
42103131230123200
520031323104122
61045255053200
7115210643526
oct22335543340
96342288780
102474034912
11105a58a058
12590671200
1330573abab
14196812316
15e72ec5ac
hex9376c6e0

2474034912 has 144 divisors (see below), whose sum is σ = 7238911680. Its totient is φ = 801156096.

The previous prime is 2474034911. The next prime is 2474034919. The reversal of 2474034912 is 2194304742.

2474034912 is a `hidden beast` number, since 247 + 403 + 4 + 9 + 1 + 2 = 666.

2474034912 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×24740349122 = 12241697491589695488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2474034911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1663033 + ... + 1664519.

It is an arithmetic number, because the mean of its divisors is an integer number (50270220).

Almost surely, 22474034912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2474034912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619455840).

2474034912 is an abundant number, since it is smaller than the sum of its proper divisors (4764876768).

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

2474034912 is a wasteful number, since it uses less digits than its factorization.

2474034912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2474034912 is about 49739.6714102536. The cubic root of 2474034912 is about 1352.4937741031.

The spelling of 2474034912 in words is "two billion, four hundred seventy-four million, thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 109 144 159 212 218 288 318 327 424 436 477 636 654 848 872 954 981 1272 1308 1487 1696 1744 1908 1962 2544 2616 2974 3488 3816 3924 4461 5088 5232 5777 5948 7632 7848 8922 10464 11554 11896 13383 15264 15696 17331 17844 23108 23792 26766 31392 34662 35688 46216 47584 51993 53532 69324 71376 78811 92432 103986 107064 138648 142752 157622 162083 184864 207972 214128 236433 277296 315244 324166 415944 428256 472866 486249 554592 630488 648332 709299 831888 945732 972498 1260976 1296664 1418598 1458747 1663776 1891464 1944996 2521952 2593328 2837196 2917494 3782928 3889992 5186656 5674392 5834988 7565856 7779984 8590399 11348784 11669976 15559968 17180798 22697568 23339952 25771197 34361596 46679904 51542394 68723192 77313591 103084788 137446384 154627182 206169576 274892768 309254364 412339152 618508728 824678304 1237017456 2474034912