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10047802950 = 234528872797
BaseRepresentation
bin10010101101110010…
…10100111001000110
3221221020201021110000
421112321110321012
5131034214143300
64341011142130
7503664626103
oct112671247106
927836637400
1010047802950
1142967a5089
121b44ba4946
13c41886843
146b4647aaa
153dc1a1c00
hex256e54e46

10047802950 has 120 divisors (see below), whose sum is σ = 27959473872. Its totient is φ = 2675436480.

The previous prime is 10047802913. The next prime is 10047802957. The reversal of 10047802950 is 5920874001.

10047802950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10047802957) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 3590952 + ... + 3593748.

Almost surely, 210047802950 is an apocalyptic number.

10047802950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10047802950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13979736936).

10047802950 is an abundant number, since it is smaller than the sum of its proper divisors (17911670922).

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

10047802950 is a wasteful number, since it uses less digits than its factorization.

10047802950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10047802950 in words is "ten billion, forty-seven million, eight hundred two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 887 1350 1774 2025 2661 2797 4050 4435 5322 5594 7983 8391 8870 13305 13985 15966 16782 22175 23949 25173 26610 27970 39915 41955 44350 47898 50346 66525 69925 71847 75519 79830 83910 119745 125865 133050 139850 143694 151038 199575 209775 226557 239490 251730 359235 377595 399150 419550 453114 598725 629325 718470 755190 1132785 1197450 1258650 1796175 1887975 2265570 2480939 3592350 3775950 4961878 5663925 7442817 11327850 12404695 14885634 22328451 24809390 37214085 44656902 62023475 66985353 74428170 111642255 124046950 133970706 186070425 200956059 223284510 334926765 372140850 401912118 558211275 669853530 1004780295 1116422550 1674633825 2009560590 3349267650 5023901475 10047802950