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12469063488 = 263742122037
BaseRepresentation
bin10111001110011011…
…01100111101000000
31012011222202001111020
423213031230331000
5201014040012423
65421143145440
7620665201530
oct134715547500
935158661436
1012469063488
115319508a52
1224bba45280
1312393a759b
1486403d4c0
154cea274e3
hex2e736cf40

12469063488 has 112 divisors (see below), whose sum is σ = 37795346304. Its totient is φ = 3553966080.

The previous prime is 12469063487. The next prime is 12469063489. The reversal of 12469063488 is 88436096421.

It is an interprime number because it is at equal distance from previous prime (12469063487) and next prime (12469063489).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×124690634882 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12469063488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12469063487) 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, 554806 + ... + 576842.

Almost surely, 212469063488 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 12469063488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897673152).

12469063488 is an abundant number, since it is smaller than the sum of its proper divisors (25326282816).

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

12469063488 is a wasteful number, since it uses less digits than its factorization.

12469063488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22480 (or 22470 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 12469063488 in words is "twelve billion, four hundred sixty-nine million, sixty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 421 448 672 842 1263 1344 1684 2526 2947 3368 5052 5894 6736 8841 10104 11788 13472 17682 20208 22037 23576 26944 35364 40416 44074 47152 66111 70728 80832 88148 94304 132222 141456 154259 176296 188608 264444 282912 308518 352592 462777 528888 565824 617036 705184 925554 1057776 1234072 1410368 1851108 2115552 2468144 3702216 4231104 4936288 7404432 9277577 9872576 14808864 18555154 27832731 29617728 37110308 55665462 64943039 74220616 111330924 129886078 148441232 194829117 222661848 259772156 296882464 389658234 445323696 519544312 593764928 779316468 890647392 1039088624 1558632936 1781294784 2078177248 3117265872 4156354496 6234531744 12469063488