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76465414040477 = 7111576379991567
BaseRepresentation
bin10001011000101101111101…
…110101110110101110011101
3101000202000121011210020202112
4101120231331311312232131
540010302131443243402
6430343420512403405
722051305146150420
oct2130557565665635
9330660534706675
1076465414040477
112240088885a750
1286ab614546565
1333888719a9b57
1414c4d353499b7
158c9093069e52
hex458b7dd76b9d

76465414040477 has 32 divisors (see below), whose sum is σ = 95955859845120. Its totient is φ = 59194586393280.

The previous prime is 76465414040419. The next prime is 76465414040497. The reversal of 76465414040477 is 77404041456467.

It is a cyclic number.

It is not a de Polignac number, because 76465414040477 - 242 = 72067367529373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76465414040497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76619948 + ... + 77611514.

It is an arithmetic number, because the mean of its divisors is an integer number (2998620620160).

Almost surely, 276465414040477 is an apocalyptic number.

76465414040477 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

76465414040477 is a deficient number, since it is larger than the sum of its proper divisors (19490445804643).

76465414040477 is a wasteful number, since it uses less digits than its factorization.

76465414040477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998121.

The product of its (nonzero) digits is 63221760, while the sum is 59.

The spelling of 76465414040477 in words is "seventy-six trillion, four hundred sixty-five billion, four hundred fourteen million, forty thousand, four hundred seventy-seven".

Divisors: 1 7 11 77 157 1099 1727 6379 12089 44653 70169 491183 991567 1001503 6940969 7010521 10907237 11016533 76350659 77115731 155676019 1089732133 1712436209 6325205893 11987053463 44276441251 69577264823 487040853761 993057325201 6951401276407 10923630577211 76465414040477