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2045574908172 = 223479569140453
BaseRepresentation
bin11101110001000101110…
…001000000100100001100
321020112222122002001210000
4131301011301000210030
5232003314134030142
64203420225244300
7300534152555325
oct35610561004414
97215878061700
102045574908172
11719583786954
12290542a93690
1311ab875c7163
147101361344c
153832412e14c
hex1dc45c4090c

2045574908172 has 120 divisors (see below), whose sum is σ = 5424782932800. Its totient is φ = 672039224064.

The previous prime is 2045574908161. The next prime is 2045574908231. The reversal of 2045574908172 is 2718094755402.

2045574908172 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 5 + 7 + 490 + 81 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14493898 + ... + 14634350.

It is an arithmetic number, because the mean of its divisors is an integer number (45206524440).

Almost surely, 22045574908172 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 2045574908172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712391466400).

2045574908172 is an abundant number, since it is smaller than the sum of its proper divisors (3379208024628).

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

2045574908172 is a wasteful number, since it uses less digits than its factorization.

2045574908172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141117 (or 141106 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 2045574908172 in words is "two trillion, forty-five billion, five hundred seventy-four million, nine hundred eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 474 569 711 948 1138 1422 1707 2133 2276 2844 3414 4266 5121 6399 6828 8532 10242 12798 15363 20484 25596 30726 44951 46089 61452 89902 92178 134853 140453 179804 184356 269706 280906 404559 421359 539412 561812 809118 842718 1213677 1264077 1618236 1685436 2427354 2528154 3641031 3792231 4854708 5056308 7282062 7584462 11095787 11376693 14564124 15168924 22191574 22753386 33287361 44383148 45506772 66574722 79917757 99862083 133149444 159835514 199724166 239753271 299586249 319671028 399448332 479506542 599172498 719259813 898758747 959013084 1198344996 1438519626 1797517494 2157779439 2877039252 3595034988 4315558878 6313502803 6473338317 8631117756 12627005606 12946676634 18940508409 25254011212 25893353268 37881016818 56821525227 75762033636 113643050454 170464575681 227286100908 340929151362 511393727043 681858302724 1022787454086 2045574908172