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76318677144 = 2333187972
BaseRepresentation
bin100011100010011110…
…0101001100010011000
321021222210001111102000
41013010330221202120
52222300040132034
655021010041000
75341151023623
oct1070474514230
9237883044360
1076318677144
112a4039a37a6
121295ab79160
137273550478
14399dc9adba
151eba1e6599
hex11c4f29898

76318677144 has 48 divisors (see below), whose sum is σ = 212007604200. Its totient is φ = 25438205664.

The previous prime is 76318677143. The next prime is 76318677217. The reversal of 76318677144 is 44177681367.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-3 number, since 3×763186771443 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76318677143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4050754 + ... + 4069550.

Almost surely, 276318677144 is an apocalyptic number.

It is an amenable number.

76318677144 is an abundant number, since it is smaller than the sum of its proper divisors (135688927056).

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

76318677144 is an frugal number, since it uses more digits than its factorization.

76318677144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37609 (or 18802 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

Multiplying 76318677144 by its sum of digits (54), we get a square (4121208565776 = 20300762).

76318677144 divided by its sum of digits (54) gives a square (1413308836 = 375942).

The spelling of 76318677144 in words is "seventy-six billion, three hundred eighteen million, six hundred seventy-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 18797 37594 56391 75188 112782 150376 169173 225564 338346 451128 507519 676692 1015038 1353384 2030076 4060152 353327209 706654418 1059981627 1413308836 2119963254 2826617672 3179944881 4239926508 6359889762 8479853016 9539834643 12719779524 19079669286 25439559048 38159338572 76318677144