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9048435096 = 2331727011861
BaseRepresentation
bin10000110110101010…
…00010100110011000
3212100121020010110210
420123111002212120
5122012344410341
64053511211120
7440141300151
oct103325024630
925317203423
109048435096
113923673238
121906376aa0
13b1280b30c
1461ba22928
1537e597c16
hex21b542998

9048435096 has 96 divisors (see below), whose sum is σ = 24077224080. Its totient is φ = 2833152000.

The previous prime is 9048435091. The next prime is 9048435101. The reversal of 9048435096 is 6905348409.

It is an interprime number because it is at equal distance from previous prime (9048435091) and next prime (9048435101).

It is a super-4 number, since 4×90484350964 (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9048435091) 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, 4861206 + ... + 4863066.

Almost surely, 29048435096 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 9048435096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12038612040).

9048435096 is an abundant number, since it is smaller than the sum of its proper divisors (15028788984).

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

9048435096 is a wasteful number, since it uses less digits than its factorization.

9048435096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 9048435096 is about 95123.2626437929. The cubic root of 9048435096 is about 2083.8085958337.

The spelling of 9048435096 in words is "nine billion, forty-eight million, four hundred thirty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 701 867 1156 1402 1734 1861 2103 2312 2804 3468 3722 4206 5583 5608 6936 7444 8412 11166 11917 14888 16824 22332 23834 31637 35751 44664 47668 63274 71502 94911 95336 126548 143004 189822 202589 253096 286008 379644 405178 537829 607767 759288 810356 1075658 1215534 1304561 1613487 1620712 2151316 2431068 2609122 3226974 3913683 4302632 4862136 5218244 6453948 7827366 10436488 12907896 15654732 22177537 31309464 44355074 66532611 88710148 133065222 177420296 266130444 377018129 532260888 754036258 1131054387 1508072516 2262108774 3016145032 4524217548 9048435096