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9483350040 = 2332517291151
BaseRepresentation
bin10001101010100000…
…00111000000011000
3220110220121002121200
420311100013000120
5123410214200130
64205005034200
7454002100563
oct106520070030
926426532550
109483350040
11402711627a
121a07b55960
13b81955a38
1465d6b54da
153a7856760
hex235407018

9483350040 has 144 divisors (see below), whose sum is σ = 32740886880. Its totient is φ = 2380108800.

The previous prime is 9483350039. The next prime is 9483350069. The reversal of 9483350040 is 400533849.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9483349977 and 9483350004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58465 + ... + 149615.

It is an arithmetic number, because the mean of its divisors is an integer number (227367270).

Almost surely, 29483350040 is an apocalyptic number.

9483350040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9483350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16370443440).

9483350040 is an abundant number, since it is smaller than the sum of its proper divisors (23257536840).

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

9483350040 is a wasteful number, since it uses less digits than its factorization.

9483350040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91202 (or 91178 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 9483350040 is about 97382.4934985750. The cubic root of 9483350040 is about 2116.6737651886.

Adding to 9483350040 its reverse (400533849), we get a palindrome (9883883889).

The spelling of 9483350040 in words is "nine billion, four hundred eighty-three million, three hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 289 306 340 360 408 510 578 612 680 765 867 1020 1156 1224 1445 1530 1734 2040 2312 2601 2890 3060 3468 4335 5202 5780 6120 6936 8670 10404 11560 13005 17340 20808 26010 34680 52020 91151 104040 182302 273453 364604 455755 546906 729208 820359 911510 1093812 1367265 1549567 1640718 1823020 2187624 2734530 3099134 3281436 3646040 4101795 4648701 5469060 6198268 6562872 7747835 8203590 9297402 10938120 12396536 13946103 15495670 16407180 18594804 23243505 26342639 27892206 30991340 32814360 37189608 46487010 52685278 55784412 61982680 69730515 79027917 92974020 105370556 111568824 131713195 139461030 158055834 185948040 210741112 237083751 263426390 278922060 316111668 395139585 474167502 526852780 557844120 632223336 790279170 948335004 1053705560 1185418755 1580558340 1896670008 2370837510 3161116680 4741675020 9483350040