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474825997440 = 2732582435069
BaseRepresentation
bin1101110100011011101…
…01011011110010000000
31200101121102212212210100
412322031311123302000
530234420423404230
61002044305002400
746206426246024
oct6721565336200
91611542785710
10474825997440
11173410995803
1278036323400
1335a11860482
1418da5b04384
15c540a3e660
hex6e8dd5bc80

474825997440 has 96 divisors (see below), whose sum is σ = 1639633542300. Its totient is φ = 126620264448.

The previous prime is 474825997417. The next prime is 474825997469. The reversal of 474825997440 is 44799528474.

474825997440 is a `hidden beast` number, since 47 + 48 + 25 + 9 + 97 + 440 = 666.

474825997440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 442693283904 + 32132713536 = 665352^2 + 179256^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41211775 + ... + 41223294.

Almost surely, 2474825997440 is an apocalyptic number.

474825997440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

474825997440 is an abundant number, since it is smaller than the sum of its proper divisors (1164807544860).

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

474825997440 is a wasteful number, since it uses less digits than its factorization.

474825997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82435094 (or 82435079 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 474825997440 in words is "four hundred seventy-four billion, eight hundred twenty-five million, nine hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 82435069 164870138 247305207 329740276 412175345 494610414 659480552 741915621 824350690 989220828 1236526035 1318961104 1483831242 1648701380 1978441656 2473052070 2637922208 2967662484 3297402760 3709578105 3956883312 4946104140 5275844416 5935324968 6594805520 7419156210 7913766624 9892208280 10551688832 11870649936 13189611040 14838312420 15827533248 19784416560 23741299872 26379222080 29676624840 31655066496 39568833120 47482599744 52758444160 59353249680 79137666240 94965199488 118706499360 158275332480 237412998720 474825997440