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10329146828 = 22711132198439
BaseRepresentation
bin10011001111010101…
…00100010111001100
3222122212010000200122
421213222210113030
5132123230144303
64424541244112
7513652204460
oct114752442714
928585100618
1010329146828
114420596990
122003263638
13c87c51b00
146ddb624a0
15406c27e38
hex267aa45cc

10329146828 has 72 divisors (see below), whose sum is σ = 24403357440. Its totient is φ = 3714759360.

The previous prime is 10329146783. The next prime is 10329146879. The reversal of 10329146828 is 82864192301.

It is a happy number.

10329146828 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 (44).

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 23 ways as a sum of consecutive naturals, for example, 47168 + ... + 151271.

It is an arithmetic number, because the mean of its divisors is an integer number (338935520).

Almost surely, 210329146828 is an apocalyptic number.

It is an amenable number.

10329146828 is an abundant number, since it is smaller than the sum of its proper divisors (14074210612).

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

10329146828 is a wasteful number, since it uses less digits than its factorization.

10329146828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198487 (or 198472 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 10329146828 in words is "ten billion, three hundred twenty-nine million, one hundred forty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 169 182 286 308 338 364 572 676 1001 1183 1859 2002 2366 3718 4004 4732 7436 13013 26026 52052 198439 396878 793756 1389073 2182829 2579707 2778146 4365658 5159414 5556292 8731316 10318828 15279803 18057949 28376777 30559606 33536191 36115898 56753554 61119212 67072382 72231796 113507108 134144764 198637439 234753337 368898101 397274878 469506674 737796202 794549756 939013348 1475592404 2582286707 5164573414 10329146828