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76403331072341 = 71323139373370351
BaseRepresentation
bin10001010111110100001001…
…011010001000000101010101
3101000112002100111201200220022
4101113310021122020011111
540003243010223303331
6430255112235114525
722043646524503340
oct2127641132100525
9330462314650808
1076403331072341
112238751a617919
12869b588ba2a45
133382a59846250
1414c1d25da1457
158c765ca1667b
hex457d09688155

76403331072341 has 64 divisors (see below), whose sum is σ = 98857144565760. Its totient is φ = 57390498950400.

The previous prime is 76403331072323. The next prime is 76403331072371. The reversal of 76403331072341 is 14327013330467.

It is a happy number.

It is not a de Polignac number, because 76403331072341 - 218 = 76403330810197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 76403331072292 and 76403331072301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76403331072311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1085995316 + ... + 1086065666.

It is an arithmetic number, because the mean of its divisors is an integer number (1544642883840).

Almost surely, 276403331072341 is an apocalyptic number.

It is an amenable number.

76403331072341 is a deficient number, since it is larger than the sum of its proper divisors (22453813493419).

76403331072341 is a wasteful number, since it uses less digits than its factorization.

76403331072341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74266.

The product of its (nonzero) digits is 762048, while the sum is 44.

The spelling of 76403331072341 in words is "seventy-six trillion, four hundred three billion, three hundred thirty-one million, seventy-two thousand, three hundred forty-one".

Divisors: 1 7 13 23 91 139 161 299 973 1807 2093 3197 3733 12649 22379 26131 41561 48529 70351 85859 290927 339703 492457 518887 601013 914563 1116167 1618073 3632209 6401941 6745531 7813169 9778789 11326511 11934401 21034949 47218717 68451523 83540807 127124257 147244643 155147213 224912147 262620283 889869799 1086030491 1574385029 1838341981 2923857911 3414063679 6040266509 20467005377 23898445753 36504219337 42281865563 78523464617 255529535359 474554851381 549664252319 839597044751 3321883959667 5877179313257 10914761581763 76403331072341