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76332734416 = 2417535295001
BaseRepresentation
bin100011100010111001…
…0010001011111010000
321022000202111200100201
41013011302101133100
52222312140000131
655022231224544
75341411352131
oct1070562213720
9238022450321
1076332734416
112a410925184
1212963818154
137276432993
1439a1ab9c88
151ebb571761
hex11c5c917d0

76332734416 has 40 divisors (see below), whose sum is σ = 159549000264. Its totient is φ = 35243520000.

The previous prime is 76332734353. The next prime is 76332734461. The reversal of 76332734416 is 61443723367.

It can be written as a sum of positive squares in 4 ways, for example, as 56693514816 + 19639219600 = 238104^2 + 140140^2 .

It is a super-2 number, since 2×763327344162 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 2633085 + ... + 2661916.

Almost surely, 276332734416 is an apocalyptic number.

It is an amenable number.

76332734416 is an abundant number, since it is smaller than the sum of its proper divisors (83216265848).

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

76332734416 is a wasteful number, since it uses less digits than its factorization.

76332734416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295079 (or 5295073 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 46.

The spelling of 76332734416 in words is "seventy-six billion, three hundred thirty-two million, seven hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 848 901 1802 3604 7208 14416 5295001 10590002 21180004 42360008 84720016 90015017 180030034 280635053 360060068 561270106 720120136 1122540212 1440240272 2245080424 4490160848 4770795901 9541591802 19083183604 38166367208 76332734416