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404422678656 = 273439006817
BaseRepresentation
bin1011110001010010111…
…10000101100010000000
31102122212220121201120000
411320221132011202000
523111224201204111
6505442245320000
741134654022613
oct5705136054200
91378786551500
10404422678656
11146573071327
1266468406000
132c1a19b1a69
141580770217a
15a7bed11c56
hex5e29785880

404422678656 has 80 divisors (see below), whose sum is σ = 1203555369390. Its totient is φ = 134807556096.

The previous prime is 404422678643. The next prime is 404422678697. The reversal of 404422678656 is 656876224404.

It is a happy number.

404422678656 is a `hidden beast` number, since 404 + 4 + 226 + 7 + 8 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 375867086400 + 28555592256 = 613080^2 + 168984^2 .

It is a super-3 number, since 3×4044226786563 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19493041 + ... + 19513776.

Almost surely, 2404422678656 is an apocalyptic number.

It is an amenable number.

404422678656 is an abundant number, since it is smaller than the sum of its proper divisors (799132690734).

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

404422678656 is an equidigital number, since it uses as much as digits as its factorization.

404422678656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39006843 (or 39006822 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 404422678656 in words is "four hundred four billion, four hundred twenty-two million, six hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 39006817 78013634 117020451 156027268 234040902 312054536 351061353 468081804 624109072 702122706 936163608 1053184059 1248218144 1404245412 1872327216 2106368118 2496436288 2808490824 3159552177 3744654432 4212736236 4992872576 5616981648 6319104354 7489308864 8425472472 11233963296 12638208708 14978617728 16850944944 22467926592 25276417416 33701889888 44935853184 50552834832 67403779776 101105669664 134807559552 202211339328 404422678656