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395930748978 = 231018312
BaseRepresentation
bin1011100001011110100…
…11111100100000110010
31101211222002120000000000
411300233103330200302
522441331232431403
6501515454010430
740414350560262
oct5605723744062
91354862500000
10395930748978
11142a05649926
12648984a6a16
132b44a580cbb
141523d9837a2
15a4745447a3
hex5c2f4fc832

395930748978 has 66 divisors (see below), whose sum is σ = 891325953567. Its totient is φ = 131904837180.

The previous prime is 395930748971. The next prime is 395930749051. The reversal of 395930748978 is 879847039593.

395930748978 is a `hidden beast` number, since 395 + 93 + 0 + 7 + 4 + 89 + 78 = 666.

It can be written as a sum of positive squares in only one way, i.e., 197965374489 + 197965374489 = 444933^2 + 444933^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=444933.

It is a super-2 number, since 2×3959307489782 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (395930748971) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 216236523 + ... + 216238353.

Almost surely, 2395930748978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395930748978

395930748978 is an abundant number, since it is smaller than the sum of its proper divisors (495395204589).

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

395930748978 is an frugal number, since it uses more digits than its factorization.

395930748978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

Multiplying 395930748978 by its sum of digits (72), we get a square (28507013926416 = 53391962).

The spelling of 395930748978 in words is "three hundred ninety-five billion, nine hundred thirty million, seven hundred forty-eight thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 1831 2187 3662 4374 5493 6561 10986 13122 16479 19683 32958 39366 49437 59049 98874 118098 148311 296622 444933 889866 1334799 2669598 3352561 4004397 6705122 8008794 10057683 12013191 20115366 24026382 30173049 36039573 60346098 72079146 90519147 108118719 181038294 216237438 271557441 543114882 814672323 1629344646 2444016969 4888033938 7332050907 14664101814 21996152721 43992305442 65988458163 131976916326 197965374489 395930748978