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5475878370672 = 243535946778121
BaseRepresentation
bin100111110101111001111…
…0010001111110101110000
3201101111012101020002212220
41033223303302033311300
51204204044330330142
615351330033321040
71103422241112543
oct117536362176560
921344171202786
105475878370672
111821341647906
12745318706180
133094b096b298
1414d06914c85a
159769083a2ec
hex4faf3c8fd70

5475878370672 has 160 divisors (see below), whose sum is σ = 14688785928960. Its totient is φ = 1756707563520.

The previous prime is 5475878370637. The next prime is 5475878370673. The reversal of 5475878370672 is 2760738785745.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5475878370597 and 5475878370606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5475878370673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70055772 + ... + 70133892.

It is an arithmetic number, because the mean of its divisors is an integer number (91804912056).

Almost surely, 25475878370672 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 5475878370672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344392964480).

5475878370672 is an abundant number, since it is smaller than the sum of its proper divisors (9212907558288).

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

5475878370672 is a wasteful number, since it uses less digits than its factorization.

5475878370672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78711 (or 78705 counting only the distinct ones).

The product of its (nonzero) digits is 553190400, while the sum is 69.

The spelling of 5475878370672 in words is "five trillion, four hundred seventy-five billion, eight hundred seventy-eight million, three hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 59 106 118 159 177 212 236 318 354 424 467 472 636 708 848 934 944 1272 1401 1416 1868 2544 2802 2832 3127 3736 5604 6254 7472 9381 11208 12508 18762 22416 24751 25016 27553 37524 49502 50032 55106 74253 75048 78121 82659 99004 110212 148506 150096 156242 165318 198008 220424 234363 297012 312484 330636 396016 440848 468726 594024 624968 661272 937452 1188048 1249936 1322544 1460309 1874904 2920618 3749808 4140413 4380927 4609139 5841236 8280826 8761854 9218278 11682472 12421239 13827417 16561652 17523708 18436556 23364944 24842478 27654834 33123304 35047416 36482507 36873112 49684956 55309668 66246608 70094832 72965014 73746224 99369912 109447521 110619336 145930028 198739824 218895042 221238672 244284367 291860056 437790084 488568734 583720112 732853101 875580168 977137468 1465706202 1751160336 1933572871 1954274936 2152467913 2931412404 3867145742 3908549872 4304935826 5800718613 5862824808 6457403739 7734291484 8609871652 11601437226 11725649616 12914807478 15468582968 17219743304 23202874452 25829614956 30937165936 34439486608 46405748904 51659229912 92811497808 103318459824 114080799389 228161598778 342242398167 456323197556 684484796334 912646395112 1368969592668 1825292790224 2737939185336 5475878370672