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406041622050 = 235217957726209
BaseRepresentation
bin1011110100010011111…
…01110111011000100010
31102211001201221120101110
411322021331313120202
523123033123401200
6510311041044150
741223042561321
oct5721175673042
91384051846343
10406041622050
11147223a01479
126683a626656
132c39c21b02c
141591c7280b8
15a867003b50
hex5e89f77622

406041622050 has 96 divisors (see below), whose sum is σ = 1014402484800. Its totient is φ = 107482152960.

The previous prime is 406041621983. The next prime is 406041622061. The reversal of 406041622050 is 50226140604.

It is a super-3 number, since 3×4060416220503 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 406041621999 and 406041622017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15479346 + ... + 15505554.

It is an arithmetic number, because the mean of its divisors is an integer number (10566692550).

Almost surely, 2406041622050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406041622050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507201242400).

406041622050 is an abundant number, since it is smaller than the sum of its proper divisors (608360862750).

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

406041622050 is a wasteful number, since it uses less digits than its factorization.

406041622050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26980 (or 26975 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 406041622050 its reverse (50226140604), we get a palindrome (456267762654).

The spelling of 406041622050 in words is "four hundred six billion, forty-one million, six hundred twenty-two thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 179 358 537 577 895 1074 1154 1731 1790 2685 2885 3462 4475 5370 5770 8655 8950 13425 14425 17310 26209 26850 28850 43275 52418 78627 86550 103283 131045 157254 206566 262090 309849 393135 516415 619698 655225 786270 1032830 1310450 1549245 1965675 2582075 3098490 3931350 4691411 5164150 7746225 9382822 14074233 15122593 15492450 23457055 28148466 30245186 45367779 46914110 70371165 75612965 90735558 117285275 140742330 151225930 226838895 234570550 351855825 378064825 453677790 703711650 756129650 1134194475 2268388950 2706944147 5413888294 8120832441 13534720735 16241664882 27069441470 40604162205 67673603675 81208324410 135347207350 203020811025 406041622050