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9105425440 = 255435324971
BaseRepresentation
bin10000111101011100…
…11100010000100000
3212111120110112112021
420132232130100200
5122121442103230
64103304511224
7441432560566
oct103656342040
925446415467
109105425440
1139528589a1
12192147b514
13b21573407
14625419a36
153845a3c7a
hex21eb9c420

9105425440 has 96 divisors (see below), whose sum is σ = 22428052416. Its totient is φ = 3490206720.

The previous prime is 9105425429. The next prime is 9105425453. The reversal of 9105425440 is 445245019.

It is a junction number, because it is equal to n+sod(n) for n = 9105425396 and 9105425405.

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, 352155 + ... + 377125.

It is an arithmetic number, because the mean of its divisors is an integer number (233625546).

Almost surely, 29105425440 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 9105425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11214026208).

9105425440 is an abundant number, since it is smaller than the sum of its proper divisors (13322626976).

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

9105425440 is a wasteful number, since it uses less digits than its factorization.

9105425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25082 (or 25074 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 9105425440 is about 95422.3529368250. The cubic root of 9105425440 is about 2088.1743051641.

The spelling of 9105425440 in words is "nine billion, one hundred five million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 53 80 86 106 160 172 212 215 265 344 424 430 530 688 848 860 1060 1376 1696 1720 2120 2279 3440 4240 4558 6880 8480 9116 11395 18232 22790 24971 36464 45580 49942 72928 91160 99884 124855 182320 199768 249710 364640 399536 499420 799072 998840 1073753 1323463 1997680 2147506 2646926 3995360 4295012 5293852 5368765 6617315 8590024 10587704 10737530 13234630 17180048 21175408 21475060 26469260 34360096 42350816 42950120 52938520 56908909 85900240 105877040 113817818 171800480 211754080 227635636 284544545 455271272 569089090 910542544 1138178180 1821085088 2276356360 4552712720 9105425440