Search a number
-
+
10423153350 = 2325279449653
BaseRepresentation
bin10011011010100010…
…01011001011000110
3222220102000001101200
421231101023023012
5132321311401400
64442140203330
7516203225121
oct115521131306
928812001350
1010423153350
114469664425
12202a839546
13ca157757c
1470c4333b8
154100e6b00
hex26d44b2c6

10423153350 has 144 divisors (see below), whose sum is σ = 28464696000. Its totient is φ = 2734018560.

The previous prime is 10423153337. The next prime is 10423153427. The reversal of 10423153350 is 5335132401.

10423153350 is a `hidden beast` number, since 10 + 4 + 2 + 315 + 335 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15961624 + ... + 15962276.

It is an arithmetic number, because the mean of its divisors is an integer number (197671500).

Almost surely, 210423153350 is an apocalyptic number.

10423153350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10423153350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14232348000).

10423153350 is an abundant number, since it is smaller than the sum of its proper divisors (18041542650).

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

10423153350 is a wasteful number, since it uses less digits than its factorization.

10423153350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10423153350 its reverse (5335132401), we get a palindrome (15758285751).

The spelling of 10423153350 in words is "ten billion, four hundred twenty-three million, one hundred fifty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 79 90 150 158 225 237 395 449 450 474 653 711 790 898 1185 1306 1347 1422 1959 1975 2245 2370 2694 3265 3555 3918 3950 4041 4490 5877 5925 6530 6735 7110 8082 9795 11225 11754 11850 13470 16325 17775 19590 20205 22450 29385 32650 33675 35471 35550 40410 48975 51587 58770 67350 70942 97950 101025 103174 106413 146925 154761 177355 202050 212826 257935 293197 293850 309522 319239 354710 464283 515870 532065 586394 638478 773805 879591 886775 928566 1064130 1289675 1465985 1547610 1596195 1759182 1773550 2321415 2579350 2638773 2660325 2931970 3192390 3869025 4397955 4642830 5277546 5320650 7329925 7738050 7980975 8795910 11607075 13193865 14659850 15961950 21989775 23162563 23214150 26387730 43979550 46325126 65969325 69487689 115812815 131938650 138975378 208463067 231625630 347438445 416926134 579064075 694876890 1042315335 1158128150 1737192225 2084630670 3474384450 5211576675 10423153350