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2693943424 = 27193133539
BaseRepresentation
bin1010000010010010…
…0101000010000000
320221202010111122101
42200210211002000
521004122142144
61123152320144
7123521066314
oct24044450200
96852114571
102693943424
11116272a627
12632243054
1333c175a83
141b7ad7b44
1510b78a6d4
hexa0925080

2693943424 has 64 divisors (see below), whose sum is σ = 5668956000. Its totient is φ = 1271642112.

The previous prime is 2693943419. The next prime is 2693943457. The reversal of 2693943424 is 4243493962.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759447 + ... + 762985.

Almost surely, 22693943424 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 2693943424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834478000).

2693943424 is an abundant number, since it is smaller than the sum of its proper divisors (2975012576).

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

2693943424 is a wasteful number, since it uses less digits than its factorization.

2693943424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3873 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 46.

The square root of 2693943424 is about 51903.2120778666. The cubic root of 2693943424 is about 1391.4346803829.

The spelling of 2693943424 in words is "two billion, six hundred ninety-three million, nine hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 313 608 626 1216 1252 2432 2504 3539 5008 5947 7078 10016 11894 14156 20032 23788 28312 40064 47576 56624 67241 95152 113248 134482 190304 226496 268964 380608 452992 537928 761216 1075856 1107707 2151712 2215414 4303424 4430828 8606848 8861656 17723312 21046433 35446624 42092866 70893248 84185732 141786496 168371464 336742928 673485856 1346971712 2693943424