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10239048006 = 23116118114051
BaseRepresentation
bin10011000100100101…
…10111100101000110
3222102120120112100020
421202102313211012
5131432144014011
64412002200010
7511506320625
oct114222674506
928376515306
1010239048006
114384748350
121b99053006
13c72396bb5
146d1bcb6bc
153edd7c006
hex2624b7946

10239048006 has 64 divisors (see below), whose sum is σ = 22833038592. Its totient is φ = 3034800000.

The previous prime is 10239047993. The next prime is 10239048019. The reversal of 10239048006 is 60084093201.

It is an interprime number because it is at equal distance from previous prime (10239047993) and next prime (10239048019).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721681 + ... + 735731.

It is an arithmetic number, because the mean of its divisors is an integer number (356766228).

Almost surely, 210239048006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10239048006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416519296).

10239048006 is an abundant number, since it is smaller than the sum of its proper divisors (12593990586).

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

10239048006 is a wasteful number, since it uses less digits than its factorization.

10239048006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14309.

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 10239048006 in words is "ten billion, two hundred thirty-nine million, forty-eight thousand, six".

Divisors: 1 2 3 6 11 22 33 61 66 122 181 183 362 366 543 671 1086 1342 1991 2013 3982 4026 5973 11041 11946 14051 22082 28102 33123 42153 66246 84306 121451 154561 242902 309122 364353 463683 728706 857111 927366 1714222 2543231 2571333 5086462 5142666 7629693 9428221 15259386 18856442 27975541 28284663 55951082 56569326 83926623 155137091 167853246 310274182 465411273 930822546 1706508001 3413016002 5119524003 10239048006