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12405051050 = 2527378531123
BaseRepresentation
bin10111000110110011…
…00000111010101010
31012000112021212221012
423203121200322222
5200401143113200
65410535143522
7616260123410
oct134331407252
935015255835
1012405051050
115296367507
1224a2514ba2
1312290541c2
148597392b0
154c90d0a35
hex2e3660eaa

12405051050 has 96 divisors (see below), whose sum is σ = 27138179712. Its totient is φ = 4129678080.

The previous prime is 12405051031. The next prime is 12405051053. The reversal of 12405051050 is 5015050421.

It is a happy number.

12405051050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124050510502 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12405051053) 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 47 ways as a sum of consecutive naturals, for example, 11045789 + ... + 11046911.

It is an arithmetic number, because the mean of its divisors is an integer number (282689372).

Almost surely, 212405051050 is an apocalyptic number.

12405051050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12405051050 is an abundant number, since it is smaller than the sum of its proper divisors (14733128662).

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

12405051050 is a wasteful number, since it uses less digits than its factorization.

12405051050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The spelling of 12405051050 in words is "twelve billion, four hundred five million, fifty-one thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 37 50 70 74 175 185 259 350 370 518 853 925 1123 1295 1706 1850 2246 2590 4265 5615 5971 6475 7861 8530 11230 11942 12950 15722 21325 28075 29855 31561 39305 41551 42650 56150 59710 63122 78610 83102 149275 157805 196525 207755 220927 290857 298550 315610 393050 415510 441854 581714 789025 957919 1038775 1104635 1454285 1578050 1915838 2077550 2209270 2908570 4789595 5523175 6705433 7271425 9579190 11046350 13410866 14542850 23947975 33527165 35443003 47895950 67054330 70886006 167635825 177215015 248101021 335271650 354430030 496202042 886075075 1240505105 1772150150 2481010210 6202525525 12405051050