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76404532232 = 23722326072
BaseRepresentation
bin100011100101000010…
…0001010010000001000
321022012202121101110002
41013022010022100020
52222434030012412
655033314142132
75343242544200
oct1071204122010
9238182541402
1076404532232
112a448403a16
1212983881948
1372882808b2
1439ab449400
151ec2a04dc2
hex11ca10a408

76404532232 has 108 divisors (see below), whose sum is σ = 174495685455. Its totient is φ = 31269512736.

The previous prime is 76404532201. The next prime is 76404532271. The reversal of 76404532232 is 23223540467.

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 can be written as a sum of positive squares in only one way, i.e., 38202266116 + 38202266116 = 195454^2 + 195454^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=195454.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 125872073 + ... + 125872679.

Almost surely, 276404532232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76404532232

76404532232 is an abundant number, since it is smaller than the sum of its proper divisors (98091153223).

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

76404532232 is an equidigital number, since it uses as much as digits as its factorization.

76404532232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 38.

The spelling of 76404532232 in words is "seventy-six billion, four hundred four million, five hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 392 529 607 644 1058 1127 1214 1288 2116 2254 2428 3703 4232 4249 4508 4856 7406 8498 9016 13961 14812 16996 25921 27922 29624 29743 33992 51842 55844 59486 97727 103684 111688 118972 195454 207368 237944 321103 368449 390908 642206 684089 736898 781816 1284412 1368178 1473796 2247721 2568824 2579143 2736356 2947592 4495442 5158286 5472712 8474327 8990884 10316572 15734047 16948654 17981768 18054001 20633144 31468094 33897308 36108002 59320289 62936188 67794616 72216004 118640578 125872376 144432008 194909521 237281156 389819042 415242023 474562312 779638084 830484046 1364366647 1559276168 1660968092 2728733294 3321936184 5457466588 9550566529 10914933176 19101133058 38202266116 76404532232