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75134024466105 = 35118313014216939
BaseRepresentation
bin10001000101010110000000…
…110101101011111010111001
3100212000202001100102012110210
4101011112000311223322321
534321443440230403410
6423444032213301333
721553153111405653
oct2105260065537271
9325022040365423
1075134024466105
1121a38185086760
128515588934849
1332c015367c387
14147a712d996d3
158a461d535220
hex445580d6beb9

75134024466105 has 64 divisors (see below), whose sum is σ = 132825108648960. Its totient is φ = 35962047264000.

The previous prime is 75134024466097. The next prime is 75134024466133. The reversal of 75134024466105 is 50166442043157.

It is not a de Polignac number, because 75134024466105 - 23 = 75134024466097 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15708726 + ... + 19925664.

It is an arithmetic number, because the mean of its divisors is an integer number (2075392322640).

Almost surely, 275134024466105 is an apocalyptic number.

It is an amenable number.

75134024466105 is a deficient number, since it is larger than the sum of its proper divisors (57691084182855).

75134024466105 is a wasteful number, since it uses less digits than its factorization.

75134024466105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218342.

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 75134024466105 in words is "seventy-five trillion, one hundred thirty-four billion, twenty-four million, four hundred sixty-six thousand, one hundred five".

Divisors: 1 3 5 11 15 33 55 83 165 249 415 913 1245 1301 2739 3903 4565 6505 13695 14311 19515 42933 71555 107983 214665 323949 539915 1187813 1619745 3563439 4216939 5939065 12650817 17817195 21084695 46386329 63254085 139158987 231931645 350005937 695794935 1050017811 1750029685 3850065307 5250089055 5486237639 11550195921 16458712917 19250326535 27431188195 57750979605 60348614029 82293564585 181045842087 301743070145 455357724037 905229210435 1366073172111 2276788620185 5008934964407 6830365860555 15026804893221 25044674822035 75134024466105