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67564157440 = 295132030173
BaseRepresentation
bin111110111011001000…
…110011101000000000
320110101122212211001111
4332323020303220000
52101332411014230
651012154213104
74611205601563
oct767310635000
9213348784044
1067564157440
112672122954a
1211117124194
1364a98bc5b0
1433ad3064da
151b5685992a
hexfbb233a00

67564157440 has 80 divisors (see below), whose sum is σ = 174456912168. Its totient is φ = 24946753536.

The previous prime is 67564157411. The next prime is 67564157461. The reversal of 67564157440 is 4475146576.

It can be written as a sum of positive squares in 4 ways, for example, as 16949956864 + 50614200576 = 130192^2 + 224976^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981807 + ... + 1048366.

Almost surely, 267564157440 is an apocalyptic number.

It is an amenable number.

67564157440 is an abundant number, since it is smaller than the sum of its proper divisors (106892754728).

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

67564157440 is a wasteful number, since it uses less digits than its factorization.

67564157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030209 (or 2030193 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

The spelling of 67564157440 in words is "sixty-seven billion, five hundred sixty-four million, one hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 33280 2030173 4060346 8120692 10150865 16241384 20301730 26392249 32482768 40603460 52784498 64965536 81206920 105568996 129931072 131961245 162413840 211137992 259862144 263922490 324827680 422275984 519724288 527844980 649655360 844551968 1039448576 1055689960 1299310720 1689103936 2111379920 2598621440 3378207872 4222759840 5197242880 6756415744 8445519680 13512831488 16891039360 33782078720 67564157440