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2693143104 = 263313311367
BaseRepresentation
bin1010000010000110…
…0001101001000000
320221200121211210220
42200201201221000
521003421034404
61123123223040
7123511224111
oct24041415100
96850554726
102693143104
111162233303
12631b17a80
1333bc55702
141b796a208
1510b67d4d9
hexa0861a40

2693143104 has 112 divisors (see below), whose sum is σ = 7383085056. Its totient is φ = 865497600.

The previous prime is 2693143093. The next prime is 2693143109. The reversal of 2693143104 is 4013413962.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2693143109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1969429 + ... + 1970795.

Almost surely, 22693143104 is an apocalyptic number.

2693143104 is a gapful number since it is divisible by the number (24) 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 2693143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691542528).

2693143104 is an abundant number, since it is smaller than the sum of its proper divisors (4689941952).

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

2693143104 is a wasteful number, since it uses less digits than its factorization.

2693143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2693143104 is about 51895.5017703847. The cubic root of 2693143104 is about 1391.2968770314.

The spelling of 2693143104 in words is "two billion, six hundred ninety-three million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 331 372 496 662 744 992 993 1324 1367 1488 1984 1986 2648 2734 2976 3972 4101 5296 5468 5952 7944 8202 10261 10592 10936 15888 16404 20522 21184 21872 30783 31776 32808 41044 42377 43744 61566 63552 65616 82088 84754 87488 123132 127131 131232 164176 169508 246264 254262 262464 328352 339016 452477 492528 508524 656704 678032 904954 985056 1017048 1356064 1357431 1809908 1970112 2034096 2712128 2714862 3619816 4068192 5429724 7239632 8136384 10859448 14026787 14479264 21718896 28053574 28958528 42080361 43437792 56107148 84160722 86875584 112214296 168321444 224428592 336642888 448857184 673285776 897714368 1346571552 2693143104