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470343585856 = 2659214532
BaseRepresentation
bin1101101100000101010…
…10011001000001000000
31122222001001102210001111
412312002222121001000
530201230424221411
61000023423213104
745660360341464
oct6660252310100
91588031383044
10470343585856
11171520768621
12771a5147194
1335479004521
1418a9c6964a4
15c37c277721
hex6d82a99040

470343585856 has 63 divisors (see below), whose sum is σ = 950079339741. Its totient is φ = 231026721024.

The previous prime is 470343585841. The next prime is 470343585871. The reversal of 470343585856 is 658585343074.

It is a happy number.

The square root of 470343585856 is 685816.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (470343585841) and next prime (470343585871).

It can be written as a sum of positive squares in only one way, i.e., 458762382400 + 11581203456 = 677320^2 + 107616^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 470343585856.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 323704426 + ... + 323705878.

Almost surely, 2470343585856 is an apocalyptic number.

470343585856 is the 685816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470343585856

470343585856 is an abundant number, since it is smaller than the sum of its proper divisors (479735753885).

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

470343585856 is an frugal number, since it uses more digits than its factorization.

470343585856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 58.

The spelling of 470343585856 in words is "four hundred seventy billion, three hundred forty-three million, five hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 944 1453 1888 2906 3481 3776 5812 6962 11624 13924 23248 27848 46496 55696 85727 92992 111392 171454 222784 342908 685816 1371632 2111209 2743264 4222418 5057893 5486528 8444836 10115786 16889672 20231572 33779344 40463144 67558688 80926288 124561331 135117376 161852576 249122662 323705152 498245324 996490648 1992981296 3985962592 7349118529 7971925184 14698237058 29396474116 58792948232 117585896464 235171792928 470343585856