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10802479104 = 2143273259
BaseRepresentation
bin10100000111110000…
…01100000000000000
31000212211202210111200
422003320030000000
5134110413312404
64543530341200
7531460362114
oct120370140000
930784683450
1010802479104
11464379948a
12211588a800
13103202a891
14746975744
15433574839
hex283e0c000

10802479104 has 90 divisors (see below), whose sum is σ = 31206635460. Its totient is φ = 3600777216.

The previous prime is 10802479067. The next prime is 10802479109. The reversal of 10802479104 is 40197420801.

10802479104 is a `hidden beast` number, since 1 + 0 + 80 + 2 + 479 + 104 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10802479109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110827 + ... + 184085.

It is an arithmetic number, because the mean of its divisors is an integer number (346740394).

Almost surely, 210802479104 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 10802479104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15603317730).

10802479104 is an abundant number, since it is smaller than the sum of its proper divisors (20404156356).

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

10802479104 is an frugal number, since it uses more digits than its factorization.

10802479104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73293 (or 73264 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 10802479104 its reverse (40197420801), we get a palindrome (50999899905).

The spelling of 10802479104 in words is "ten billion, eight hundred two million, four hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 36864 49152 73259 73728 146518 147456 219777 293036 439554 586072 659331 879108 1172144 1318662 1758216 2344288 2637324 3516432 4688576 5274648 7032864 9377152 10549296 14065728 18754304 21098592 28131456 37508608 42197184 56262912 75017216 84394368 112525824 150034432 168788736 225051648 300068864 337577472 450103296 600137728 675154944 900206592 1200275456 1350309888 1800413184 2700619776 3600826368 5401239552 10802479104