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74821616928 = 25321715282193
BaseRepresentation
bin100010110101110110…
…1110100010100100000
321011010110001221212100
41011223231310110200
52211213313220203
654212250530400
75256102151602
oct1055355642440
9234113057770
1074821616928
1129805941253
1212601736a00
13709534a316
14389b121172
151e2da7cea3
hex116bb74520

74821616928 has 72 divisors (see below), whose sum is σ = 225290103948. Its totient is φ = 23473446912.

The previous prime is 74821616927. The next prime is 74821616951. The reversal of 74821616928 is 82961612847.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 61470276624 + 13351340304 = 247932^2 + 115548^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (74821616921) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7636201 + ... + 7645992.

Almost surely, 274821616928 is an apocalyptic number.

It is an amenable number.

74821616928 is an abundant number, since it is smaller than the sum of its proper divisors (150468487020).

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

74821616928 is a wasteful number, since it uses less digits than its factorization.

74821616928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15282226 (or 15282215 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 74821616928 in words is "seventy-four billion, eight hundred twenty-one million, six hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 15282193 30564386 45846579 61128772 91693158 122257544 137539737 183386316 244515088 259797281 275079474 366772632 489030176 519594562 550158948 733545264 779391843 1039189124 1100317896 1467090528 1558783686 2078378248 2200635792 2338175529 3117567372 4156756496 4401271584 4676351058 6235134744 8313512992 9352702116 12470269488 18705404232 24940538976 37410808464 74821616928