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54445002324405 = 35711379124376069
BaseRepresentation
bin11000110000100011101110…
…00001011111100110110101
321010202220001211020021121120
430120101313001133212311
524114011331043340110
6311443404435334153
714316343624654230
oct1430216701374665
9233686054207546
1054445002324405
1116390aa54854a0
126133981151359
13244c1ac3a2b64
14d6321b7c2417
1564638d260870
hex31847705f9b5

54445002324405 has 64 divisors (see below), whose sum is σ = 108893736806400. Its totient is φ = 22566793777920.

The previous prime is 54445002324353. The next prime is 54445002324437. The reversal of 54445002324405 is 50442320054445.

It is not a de Polignac number, because 54445002324405 - 227 = 54444868106677 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61750290 + ... + 62625779.

It is an arithmetic number, because the mean of its divisors is an integer number (1701464637600).

Almost surely, 254445002324405 is an apocalyptic number.

54445002324405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54445002324405 is an abundant number, since it is smaller than the sum of its proper divisors (54448734481995).

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

54445002324405 is a wasteful number, since it uses less digits than its factorization.

54445002324405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124376474.

The product of its (nonzero) digits is 1536000, while the sum is 42.

The spelling of 54445002324405 in words is "fifty-four trillion, four hundred forty-five billion, two million, three hundred twenty-four thousand, four hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 379 385 1137 1155 1895 2653 4169 5685 7959 12507 13265 20845 29183 39795 62535 87549 145915 437745 124376069 373128207 621880345 870632483 1368136759 1865641035 2611897449 4104410277 4353162415 6840683795 9576957313 13059487245 20522051385 28730871939 47138530151 47884786565 141415590453 143654359695 235692650755 329969711057 518523831661 707077952265 989909133171 1555571494983 1649848555285 2592619158305 3629666821627 4949545665855 7777857474915 10889000464881 18148334108135 54445002324405