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77013400448 = 275910197749
BaseRepresentation
bin100011110111001011…
…0110011101110000000
321100210012022002121202
41013232112303232000
52230210412303243
655213544240332
75364315050165
oct1075626635600
9240705262552
1077013400448
112a730069696
1212b137700a8
137354462b4a
143a2826006c
15200b1c54b8
hex11ee5b3b80

77013400448 has 32 divisors (see below), whose sum is σ = 156025575000. Its totient is φ = 37854040576.

The previous prime is 77013400447. The next prime is 77013400481. The reversal of 77013400448 is 84400431077.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77013400447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5091323 + ... + 5106426.

Almost surely, 277013400448 is an apocalyptic number.

It is an amenable number.

77013400448 is an abundant number, since it is smaller than the sum of its proper divisors (79012174552).

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

77013400448 is a wasteful number, since it uses less digits than its factorization.

77013400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10197822 (or 10197810 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 77013400448 in words is "seventy-seven billion, thirteen million, four hundred thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1888 3776 7552 10197749 20395498 40790996 81581992 163163984 326327968 601667191 652655936 1203334382 1305311872 2406668764 4813337528 9626675056 19253350112 38506700224 77013400448