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10323545052 = 22317223257883
BaseRepresentation
bin10011001110101010…
…01100101111011100
3222122110120102111110
421213111030233130
5132120311420202
64424221222020
7513553453662
oct114725145734
928573512443
1010323545052
114418410217
122001401910
13c86a40152
146dd104c32
154064bd26c
hex26754cbdc

10323545052 has 96 divisors (see below), whose sum is σ = 25748416512. Its totient is φ = 3208052736.

The previous prime is 10323545051. The next prime is 10323545117. The reversal of 10323545052 is 25054532301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10323545051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11691003 + ... + 11691885.

It is an arithmetic number, because the mean of its divisors is an integer number (268212672).

Almost surely, 210323545052 is an apocalyptic number.

10323545052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10323545052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874208256).

10323545052 is an abundant number, since it is smaller than the sum of its proper divisors (15424871460).

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

10323545052 is a wasteful number, since it uses less digits than its factorization.

10323545052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 10323545052 in words is "ten billion, three hundred twenty-three million, five hundred forty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 223 257 446 514 669 771 883 892 1028 1338 1542 1766 2649 2676 3084 3532 3791 4369 5298 7582 8738 10596 11373 13107 15011 15164 17476 22746 26214 30022 45033 45492 52428 57311 60044 90066 114622 171933 180132 196909 226931 229244 343866 393818 453862 590727 680793 687732 787636 907724 974287 1181454 1361586 1948574 2362908 2723172 2922861 3347453 3857827 3897148 5845722 6694906 7715654 10042359 11573481 11691444 13389812 15431308 20084718 23146962 40169436 46293924 50605613 101211226 151816839 202422452 303633678 607267356 860295421 1720590842 2580886263 3441181684 5161772526 10323545052