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74216553699409 = 11217223220032
BaseRepresentation
bin10000110111111111100011…
…010100011101100001010001
3100201210000220020022012211021
4100313333203110131201101
534211431000221340114
6421502340350515441
721426653246513362
oct2067774324354121
9321700806265737
1074216553699409
1121714077818300
1283a77b9805b81
13325478b511ac4
14144815958bb69
1588a822340024
hex437fe351d851

74216553699409 has 81 divisors (see below), whose sum is σ = 90634579136059. Its totient is φ = 60709566037120.

The previous prime is 74216553699347. The next prime is 74216553699413. The reversal of 74216553699409 is 90499635561247.

The square root of 74216553699409 is 8614903.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 57781053918225 + 16435499781184 = 7601385^2 + 4054072^2 .

It is not a de Polignac number, because 74216553699409 - 211 = 74216553697361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74216553699809) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37052696802 + ... + 37052698804.

Almost surely, 274216553699409 is an apocalyptic number.

74216553699409 is the 8614903-rd square number.

74216553699409 is the 4307452-nd centered octagonal number.

It is an amenable number.

74216553699409 is a deficient number, since it is larger than the sum of its proper divisors (16418025436650).

74216553699409 is an equidigital number, since it uses as much as digits as its factorization.

74216553699409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 70.

The spelling of 74216553699409 in words is "seventy-four trillion, two hundred sixteen billion, five hundred fifty-three million, six hundred ninety-nine thousand, four hundred nine".

Divisors: 1 11 17 23 121 187 253 289 391 529 2003 2057 2783 3179 4301 5819 6647 8993 22033 34051 34969 46069 47311 64009 73117 98923 152881 242363 374561 506759 578867 783173 804287 1059587 1088153 1681691 4012009 4120171 5574349 6367537 8614903 11655457 13313941 18012979 18498601 44132099 68204153 70042907 92276207 94763933 128210027 146453351 198142769 306220643 485453089 750245683 1015038277 1159470601 1568695519 1610986861 2122352761 2179570459 3368427073 8252702513 11165421047 12754176611 17255650709 23345880371 26667823823 36079996937 37052697803 140295942721 189812157799 256804684081 293346062053 396879966307 613359947929 3226806682583 4365679629377 6746959427219 74216553699409