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10336431534 = 231131399563
BaseRepresentation
bin10011010000001100…
…10110110110101110
3222200100211010102120
421220012112312232
5132132111302114
64425401333410
7514101134622
oct115006266656
928610733376
1010336431534
114424712000
122005797266
13c896027a0
14700adb182
154076b65a9
hex268196dae

10336431534 has 64 divisors (see below), whose sum is σ = 24487964928. Its totient is φ = 2891280480.

The previous prime is 10336431529. The next prime is 10336431551. The reversal of 10336431534 is 43513463301.

10336431534 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10336431495 and 10336431504.

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, 54037 + ... + 153599.

It is an arithmetic number, because the mean of its divisors is an integer number (382624452).

Almost surely, 210336431534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10336431534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12243982464).

10336431534 is an abundant number, since it is smaller than the sum of its proper divisors (14151533394).

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

10336431534 is a wasteful number, since it uses less digits than its factorization.

10336431534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99614 (or 99592 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 10336431534 its reverse (43513463301), we get a palindrome (53849894835).

The spelling of 10336431534 in words is "ten billion, three hundred thirty-six million, four hundred thirty-one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1331 1573 2662 3146 3993 4719 7986 9438 17303 34606 51909 99563 103818 199126 298689 597378 1095193 1294319 2190386 2588638 3285579 3882957 6571158 7765914 12047123 14237509 24094246 28475018 36141369 42712527 72282738 85425054 132518353 156612599 265036706 313225198 397555059 469837797 795110118 939675594 1722738589 3445477178 5168215767 10336431534