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76534226496 = 263271319313767
BaseRepresentation
bin100011101000111001…
…0111001111001000000
321022112210122112112100
41013101302321321000
52223220230221441
655054230030400
75346406122450
oct1072162717100
9238483575470
1076534226496
112a504637162
12129bb1a8400
1372a90c0170
1439c0769d60
151ece0c2cb6
hex11d1cb9e40

76534226496 has 1344 divisors, whose sum is σ = 305800069120. Its totient is φ = 17736744960.

The previous prime is 76534226443. The next prime is 76534226501. The reversal of 76534226496 is 69462243567.

76534226496 is a `hidden beast` number, since 76 + 5 + 3 + 422 + 64 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

Its product of digits (13063680) is a multiple of the sum of its prime factors (192).

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 191 ways as a sum of consecutive naturals, for example, 1142301855 + ... + 1142301921.

Almost surely, 276534226496 is an apocalyptic number.

76534226496 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76534226496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152900034560).

76534226496 is an abundant number, since it is smaller than the sum of its proper divisors (229265842624).

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

76534226496 is a wasteful number, since it uses less digits than its factorization.

76534226496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 76534226496 in words is "seventy-six billion, five hundred thirty-four million, two hundred twenty-six thousand, four hundred ninety-six".