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473736414116 = 22723767974999
BaseRepresentation
bin1101110010011001110…
…01000000001110100100
31200021210111122022110102
412321030321000032210
530230203010222431
61001344223243232
746140426036200
oct6711471001644
91607714568412
10473736414116
11172a01945719
1277991449518
1335899bb8c04
1418d01117b00
15c4ca064dcb
hex6e4ce403a4

473736414116 has 72 divisors (see below), whose sum is σ = 1005240600000. Its totient is φ = 194594000832.

The previous prime is 473736414097. The next prime is 473736414121. The reversal of 473736414116 is 611414637374.

It is a happy number.

It is a super-2 number, since 2×4737364141162 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1616 + ... + 973383.

It is an arithmetic number, because the mean of its divisors is an integer number (13961675000).

Almost surely, 2473736414116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473736414116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502620300000).

473736414116 is an abundant number, since it is smaller than the sum of its proper divisors (531504185884).

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

473736414116 is a wasteful number, since it uses less digits than its factorization.

473736414116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975121 (or 975112 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 47.

The spelling of 473736414116 in words is "four hundred seventy-three billion, seven hundred thirty-six million, four hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 37 49 67 74 98 134 148 196 259 268 469 518 938 1036 1813 1876 2479 3283 3626 4958 6566 7252 9916 13132 17353 34706 69412 121471 242942 485884 974999 1949998 3899996 6824993 13649986 27299972 36074963 47774951 65324933 72149926 95549902 130649866 144299852 191099804 252524741 261299732 457274531 505049482 914549062 1010098964 1767673187 1829098124 2417022521 3200921717 3535346374 4834045042 6401843434 7070692748 9668090084 12803686868 16919157647 33838315294 67676630588 118434103529 236868207058 473736414116