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9034898436 = 223573127331
BaseRepresentation
bin10000110101000010…
…11001110000000100
3212022122202101200000
420122201121300010
5122000413222221
64052305121300
7436615240524
oct103241316004
925278671600
109034898436
113916a67a13
121901929230
13b0ca7ba65
14619cdb684
1537d2c1e26
hex21a859c04

9034898436 has 72 divisors (see below), whose sum is σ = 24008703264. Its totient is φ = 2970354240.

The previous prime is 9034898423. The next prime is 9034898443. The reversal of 9034898436 is 6348984309.

It is a happy number.

9034898436 is a `hidden beast` number, since 90 + 34 + 8 + 98 + 436 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7291 + ... + 134621.

It is an arithmetic number, because the mean of its divisors is an integer number (333454212).

Almost surely, 29034898436 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 9034898436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12004351632).

9034898436 is an abundant number, since it is smaller than the sum of its proper divisors (14973804828).

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

9034898436 is a wasteful number, since it uses less digits than its factorization.

9034898436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127423 (or 127409 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 9034898436 is about 95052.0827546667. The cubic root of 9034898436 is about 2082.7689358861.

It can be divided in two parts, 903489 and 8436, that added together give a triangular number (911925 = T1350).

The spelling of 9034898436 in words is "nine billion, thirty-four million, eight hundred ninety-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 243 292 324 438 486 657 876 972 1314 1971 2628 3942 5913 7884 11826 17739 23652 35478 70956 127331 254662 381993 509324 763986 1145979 1527972 2291958 3437937 4583916 6875874 9295163 10313811 13751748 18590326 20627622 27885489 30941433 37180652 41255244 55770978 61882866 83656467 111541956 123765732 167312934 250969401 334625868 501938802 752908203 1003877604 1505816406 2258724609 3011632812 4517449218 9034898436