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10432412034 = 23112937413593
BaseRepresentation
bin10011011011101000…
…11111100110000010
3222221001102102220220
421231310133212002
5132331144141114
64443110443510
7516345016302
oct115564374602
928831372826
1010432412034
114473908630
122031963596
13ca3469895
1470d763602
15410d250a9
hex26dd1f982

10432412034 has 128 divisors (see below), whose sum is σ = 24779623680. Its totient is φ = 2896588800.

The previous prime is 10432412033. The next prime is 10432412047. The reversal of 10432412034 is 43021423401.

It is a junction number, because it is equal to n+sod(n) for n = 10432411995 and 10432412013.

It is not an unprimeable number, because it can be changed into a prime (10432412033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2901742 + ... + 2905334.

It is an arithmetic number, because the mean of its divisors is an integer number (193590810).

Almost surely, 210432412034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10432412034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12389811840).

10432412034 is an abundant number, since it is smaller than the sum of its proper divisors (14347211646).

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

10432412034 is a wasteful number, since it uses less digits than its factorization.

10432412034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10432412034 its reverse (43021423401), we get a palindrome (53453835435).

The spelling of 10432412034 in words is "ten billion, four hundred thirty-two million, four hundred twelve thousand, thirty-four".

Divisors: 1 2 3 6 11 22 29 33 37 41 58 66 74 82 87 111 123 174 222 246 319 407 451 638 814 902 957 1073 1189 1221 1353 1517 1914 2146 2378 2442 2706 3034 3219 3567 3593 4551 6438 7134 7186 9102 10779 11803 13079 16687 21558 23606 26158 33374 35409 39237 39523 43993 50061 70818 78474 79046 87986 100122 104197 118569 131979 132941 147313 208394 237138 263958 265882 294626 312591 398823 441939 483923 625182 797646 883878 967846 1146167 1451769 1462351 1620443 2292334 2903538 2924702 3240886 3438501 3855289 4272077 4387053 4861329 5450581 6877002 7710578 8544154 8774106 9722658 10901162 11565867 12816231 16351743 23131734 25632462 32703486 42408179 46992847 59956391 84816358 93985694 119912782 127224537 140978541 158066849 179869173 254449074 281957082 316133698 359738346 474200547 948401094 1738735339 3477470678 5216206017 10432412034