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12189890544 = 2431360732183
BaseRepresentation
bin10110101101001001…
…01111011111110000
31011110112102121012120
423112210233133300
5144431102444134
65333331354240
7611035234326
oct132644573760
934415377176
1012189890544
11519596a207
122442452980
1311c35bc4b0
14838d2bd16
154b527e649
hex2d692f7f0

12189890544 has 80 divisors (see below), whose sum is σ = 33969825792. Its totient is φ = 3744440064.

The previous prime is 12189890539. The next prime is 12189890597. The reversal of 12189890544 is 44509898121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362677 + ... + 394859.

Almost surely, 212189890544 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 12189890544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16984912896).

12189890544 is an abundant number, since it is smaller than the sum of its proper divisors (21779935248).

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

12189890544 is a wasteful number, since it uses less digits than its factorization.

12189890544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32814 (or 32808 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 12189890544 in words is "twelve billion, one hundred eighty-nine million, eight hundred ninety thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 607 624 1214 1821 2428 3642 4856 7284 7891 9712 14568 15782 23673 29136 31564 32183 47346 63128 64366 94692 96549 126256 128732 189384 193098 257464 378768 386196 418379 514928 772392 836758 1255137 1544784 1673516 2510274 3347032 5020548 6694064 10041096 19535081 20082192 39070162 58605243 78140324 117210486 156280648 234420972 253956053 312561296 468841944 507912106 761868159 937683888 1015824212 1523736318 2031648424 3047472636 4063296848 6094945272 12189890544