Search a number
-
+
12895996800 = 273521343333
BaseRepresentation
bin11000000001010100…
…10100101110000000
31020021202002111220010
430000222110232000
5202402333344200
65531353544520
7634401110211
oct140052245600
936252074803
1012895996800
1155184aa2a5
1225baa15140
1312a698904b
148a4a15408
1550725b150
hex300a94b80

12895996800 has 96 divisors (see below), whose sum is σ = 42476221080. Its totient is φ = 3438929920.

The previous prime is 12895996769. The next prime is 12895996823. The reversal of 12895996800 is 869959821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×128959968002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 662067 + ... + 681266.

Almost surely, 212895996800 is an apocalyptic number.

12895996800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12895996800 is an abundant number, since it is smaller than the sum of its proper divisors (29580224280).

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

12895996800 is a wasteful number, since it uses less digits than its factorization.

12895996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343360 (or 1343343 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 57.

The spelling of 12895996800 in words is "twelve billion, eight hundred ninety-five million, nine hundred ninety-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 1343333 2686666 4029999 5373332 6716665 8059998 10746664 13433330 16119996 20149995 21493328 26866660 32239992 33583325 40299990 42986656 53733320 64479984 67166650 80599980 85973312 100749975 107466640 128959968 134333300 161199960 171946624 201499950 214933280 257919936 268666600 322399920 402999900 429866560 515839872 537333200 644799840 805999800 859733120 1074666400 1289599680 1611999600 2149332800 2579199360 3223999200 4298665600 6447998400 12895996800