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1143648768 = 2934191777
BaseRepresentation
bin100010000101010…
…1011001000000000
32221200222101011210
41010022223020000
54320233230033
6305252210120
740224565653
oct10412531000
92850871153
101143648768
11537618279
1227b009940
13152c24262
14abc6189a
156a608d63
hex442ab200

1143648768 has 80 divisors (see below), whose sum is σ = 3055741920. Its totient is φ = 380092416.

The previous prime is 1143648761. The next prime is 1143648773. The reversal of 1143648768 is 8678463411.

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

It is not an unprimeable number, because it can be changed into a prime (1143648761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642696 + ... + 644472.

It is an arithmetic number, because the mean of its divisors is an integer number (38196774).

Almost surely, 21143648768 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 1143648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527870960).

1143648768 is an abundant number, since it is smaller than the sum of its proper divisors (1912093152).

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

1143648768 is an equidigital number, since it uses as much as digits as its factorization.

1143648768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2201 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 1143648768 is about 33817.8764560994. The cubic root of 1143648768 is about 1045.7572613010.

The spelling of 1143648768 in words is "one billion, one hundred forty-three million, six hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 419 512 768 838 1257 1536 1676 1777 2514 3352 3554 5028 5331 6704 7108 10056 10662 13408 14216 20112 21324 26816 28432 40224 42648 53632 56864 80448 85296 107264 113728 160896 170592 214528 227456 321792 341184 454912 643584 682368 744563 909824 1364736 1489126 2233689 2729472 2978252 4467378 5956504 8934756 11913008 17869512 23826016 35739024 47652032 71478048 95304064 142956096 190608128 285912192 381216256 571824384 1143648768