Search a number
-
+
9902433744 = 2432710990127
BaseRepresentation
bin10010011100011101…
…10010010111010000
3221120010011202101100
421032032302113100
5130240010334434
64314335304400
7500251204140
oct111616622720
927503152340
109902433744
114221736045
121b0437b100
13c1a719668
1469d206920
153ce539699
hex24e3b25d0

9902433744 has 120 divisors (see below), whose sum is σ = 31962993920. Its totient is φ = 2803279104.

The previous prime is 9902433743. The next prime is 9902433781. The reversal of 9902433744 is 4473342099.

It is a self number, because there is not a number n which added to its sum of digits gives 9902433744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9902433743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64809 + ... + 154935.

Almost surely, 29902433744 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 9902433744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15981496960).

9902433744 is an abundant number, since it is smaller than the sum of its proper divisors (22060560176).

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

9902433744 is a wasteful number, since it uses less digits than its factorization.

9902433744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90257 (or 90248 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 9902433744 is about 99510.9729828826. The cubic root of 9902433744 is about 2147.4051076701.

The spelling of 9902433744 in words is "nine billion, nine hundred two million, four hundred thirty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 109 112 126 144 168 218 252 327 336 436 504 654 763 872 981 1008 1308 1526 1744 1962 2289 2616 3052 3924 4578 5232 6104 6867 7848 9156 12208 13734 15696 18312 27468 36624 54936 90127 109872 180254 270381 360508 540762 630889 721016 811143 1081524 1261778 1442032 1622286 1892667 2163048 2523556 3244572 3785334 4326096 5047112 5678001 6489144 7570668 9823843 10094224 11356002 12978288 15141336 19647686 22712004 29471529 30282672 39295372 45424008 58943058 68766901 78590744 88414587 90848016 117886116 137533802 157181488 176829174 206300703 235772232 275067604 353658348 412601406 471544464 550135208 618902109 707316696 825202812 1100270416 1237804218 1414633392 1650405624 2475608436 3300811248 4951216872 9902433744