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5065645977432 = 2332113748183227
BaseRepresentation
bin100100110110111000000…
…0001110110111101011000
3122221021022120121022011200
41021231300001312331120
51130443420332234212
614435043045354200
71031660300235345
oct111556001667530
918837276538150
105065645977432
111683368102a77
1269990a708960
132a98c44560b1
141372700117cc
158bb8097b6dc
hex49b70076f58

5065645977432 has 96 divisors (see below), whose sum is σ = 13842885448080. Its totient is φ = 1673361930240.

The previous prime is 5065645977373. The next prime is 5065645977443. The reversal of 5065645977432 is 2347795465605.

5065645977432 is a `hidden beast` number, since 5 + 0 + 6 + 5 + 6 + 4 + 597 + 7 + 4 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5065645977432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60823803 + ... + 60907029.

Almost surely, 25065645977432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5065645977432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6921442724040).

5065645977432 is an abundant number, since it is smaller than the sum of its proper divisors (8777239470648).

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

5065645977432 is a wasteful number, since it uses less digits than its factorization.

5065645977432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90833 (or 90826 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 63.

The spelling of 5065645977432 in words is "five trillion, sixty-five billion, six hundred forty-five million, nine hundred seventy-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 7481 8136 14962 22443 29924 44886 59848 67329 83227 89772 134658 166454 179544 249681 269316 332908 499362 538632 665816 749043 845353 998724 1498086 1690706 1997448 2536059 2996172 3381412 5072118 5992344 6762824 7608177 9404651 10144236 15216354 18809302 20288472 28213953 30432708 37618604 56427906 60865416 75237208 84641859 112855812 169283718 225711624 338567436 622621187 677134872 1245242374 1867863561 2490484748 3735727122 4980969496 5603590683 7471454244 11207181366 14942908488 22414362732 44828725464 70356194131 140712388262 211068582393 281424776524 422137164786 562849553048 633205747179 844274329572 1266411494358 1688548659144 2532822988716 5065645977432