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10413433134 = 23213417271493
BaseRepresentation
bin10011011001011000…
…00110000100101110
3222212201201012202200
421230230012010232
5132311314330014
64441152002330
7516024502236
oct115454060456
928781635680
1010413433134
114464125495
1220275303a6
13c9c553170
1470b022cc6
1540e326a09
hex26cb0612e

10413433134 has 96 divisors (see below), whose sum is σ = 24941577024. Its totient is φ = 3119592960.

The previous prime is 10413433133. The next prime is 10413433201. The reversal of 10413433134 is 43133431401.

10413433134 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 343 + 313 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10413433098 and 10413433107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413433133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6974092 + ... + 6975584.

It is an arithmetic number, because the mean of its divisors is an integer number (259808094).

Almost surely, 210413433134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10413433134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12470788512).

10413433134 is an abundant number, since it is smaller than the sum of its proper divisors (14528143890).

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

10413433134 is a wasteful number, since it uses less digits than its factorization.

10413433134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10413433134 its reverse (43133431401), we get a palindrome (53546864535).

The spelling of 10413433134 in words is "ten billion, four hundred thirteen million, four hundred thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 727 738 1066 1454 1493 1599 2181 2986 3198 4362 4479 4797 6543 8958 9451 9594 13086 13437 18902 19409 26874 28353 29807 38818 56706 58227 59614 61213 85059 89421 116454 122426 170118 174681 178842 183639 268263 349362 367278 387491 536526 550917 774982 795769 1085411 1101834 1162473 1591538 2170822 2324946 2387307 3256233 3487419 4774614 6512466 6974838 7161921 9768699 14110343 14323842 19537398 28220686 42331029 44501851 84662058 89003702 126993087 133505553 253986174 267011106 400516659 578524063 801033318 1157048126 1735572189 3471144378 5206716567 10413433134