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413821865226 = 237118879911019
BaseRepresentation
bin1100000010110011011…
…01001000110100001010
31110120010221211212121010
412001121231020310022
523240001344141401
6514035050424350
741616614550120
oct6013155106412
91416127755533
10413821865226
1114a556722310
12682501320b6
133003c07a313
1416059b49910
15ab70090ed6
hex6059b48d0a

413821865226 has 128 divisors (see below), whose sum is σ = 1035088035840. Its totient is φ = 107151422400.

The previous prime is 413821865159. The next prime is 413821865243. The reversal of 413821865226 is 622568128314.

It is a super-2 number, since 2×4138218652262 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406105345 + ... + 406106363.

It is an arithmetic number, because the mean of its divisors is an integer number (8086625280).

Almost surely, 2413821865226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413821865226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517544017920).

413821865226 is an abundant number, since it is smaller than the sum of its proper divisors (621266170614).

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

413821865226 is a wasteful number, since it uses less digits than its factorization.

413821865226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920.

The product of its digits is 1105920, while the sum is 48.

The spelling of 413821865226 in words is "four hundred thirteen billion, eight hundred twenty-one million, eight hundred sixty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 887 991 1019 1774 1982 2038 2661 2973 3057 5322 5946 6114 6209 6937 7133 9757 10901 11209 12418 13874 14266 18627 19514 20811 21399 21802 22418 29271 32703 33627 37254 41622 42798 58542 65406 67254 68299 76307 78463 136598 152614 156926 204897 228921 235389 409794 457842 470778 879017 903853 1009829 1758034 1807706 2019658 2637051 2711559 3029487 5274102 5423118 6058974 6153119 6326971 7068803 9669187 9942383 11108119 12306238 12653942 14137606 18459357 18980913 19338374 19884766 21206409 22216238 29007561 29827149 33324357 36918714 37961826 42412818 58015122 59654298 66648714 67684309 69596681 77756833 135368618 139193362 155513666 203052927 208790043 233270499 406105854 417580086 466540998 895718323 1791436646 2687154969 5374309938 6270028261 9852901553 12540056522 18810084783 19705803106 29558704659 37620169566 59117409318 68970310871 137940621742 206910932613 413821865226