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10241345436 = 22377911631327
BaseRepresentation
bin10011000100110111…
…01000011110011100
3222102201220020211020
421202123220132130
5131433241023221
64412123324140
7511534666650
oct114233503634
928381806736
1010241345436
114385a77453
121b99980650
13c729bc81a
146d2228a60
153ee182ac6
hex2626e879c

10241345436 has 96 divisors (see below), whose sum is σ = 27700592640. Its totient is φ = 2884400064.

The previous prime is 10241345417. The next prime is 10241345459. The reversal of 10241345436 is 63454314201.

It is a happy number.

10241345436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10241345397 and 10241345406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7717005 + ... + 7718331.

It is an arithmetic number, because the mean of its divisors is an integer number (288547840).

Almost surely, 210241345436 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 10241345436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13850296320).

10241345436 is an abundant number, since it is smaller than the sum of its proper divisors (17459247204).

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

10241345436 is a wasteful number, since it uses less digits than its factorization.

10241345436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 10241345436 its reverse (63454314201), we get a palindrome (73695659637).

The spelling of 10241345436 in words is "ten billion, two hundred forty-one million, three hundred forty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1163 1327 1659 2212 2326 2654 3318 3489 3981 4652 5308 6636 6978 7962 8141 9289 13956 15924 16282 18578 24423 27867 32564 37156 48846 55734 91877 97692 104833 111468 183754 209666 275631 314499 367508 419332 551262 628998 643139 733831 1102524 1257996 1286278 1467662 1543301 1929417 2201493 2572556 2935324 3086602 3858834 4402986 4629903 6173204 7717668 8805972 9259806 10803107 18519612 21606214 32409321 43212428 64818642 121920779 129637284 243841558 365762337 487683116 731524674 853445453 1463049348 1706890906 2560336359 3413781812 5120672718 10241345436