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57378480144 = 2432322259707
BaseRepresentation
bin110101011100000001…
…100010000000010000
312111002210201210120020
4311130001202000100
51420002342331034
642205335543440
74100615014446
oct653401420020
9174083653506
1057378480144
1122374724427
12b153b2ab80
1355455c10cb
142ac464cb96
15175c521249
hexd5c062010

57378480144 has 60 divisors (see below), whose sum is σ = 154952696976. Its totient is φ = 18294579776.

The previous prime is 57378480143. The next prime is 57378480191. The reversal of 57378480144 is 44108487375.

It is not an unprimeable number, because it can be changed into a prime (57378480143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1104462 + ... + 1155245.

Almost surely, 257378480144 is an apocalyptic number.

It is an amenable number.

57378480144 is an abundant number, since it is smaller than the sum of its proper divisors (97574216832).

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

57378480144 is a wasteful number, since it uses less digits than its factorization.

57378480144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259764 (or 2259735 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 57378480144 in words is "fifty-seven billion, three hundred seventy-eight million, four hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 529 552 1058 1104 1587 2116 3174 4232 6348 8464 12696 25392 2259707 4519414 6779121 9038828 13558242 18077656 27116484 36155312 51973261 54232968 103946522 108465936 155919783 207893044 311839566 415786088 623679132 831572176 1195385003 1247358264 2390770006 2494716528 3586155009 4781540012 7172310018 9563080024 14344620036 19126160048 28689240072 57378480144