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2045568579054 = 2371113499368213
BaseRepresentation
bin11101110001000101011…
…000110111010111101110
321020112222012011111212020
4131301011120313113232
5232003311024012204
64203415441451010
7300534045015150
oct35610530672756
97215865144766
102045568579054
11719580153780
12290540940a66
1311ab861bc410
1471012846ad0
15383237cdbd9
hex1dc456375ee

2045568579054 has 128 divisors (see below), whose sum is σ = 5494176027648. Its totient is φ = 490340597760.

The previous prime is 2045568579053. The next prime is 2045568579073. The reversal of 2045568579054 is 4509758655402.

It is a super-2 number, since 2×20455685790542 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045568579053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29953852 + ... + 30022064.

It is an arithmetic number, because the mean of its divisors is an integer number (42923250216).

Almost surely, 22045568579054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045568579054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747088013824).

2045568579054 is an abundant number, since it is smaller than the sum of its proper divisors (3448607448594).

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

2045568579054 is a wasteful number, since it uses less digits than its factorization.

2045568579054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73242.

The product of its (nonzero) digits is 60480000, while the sum is 60.

The spelling of 2045568579054 in words is "two trillion, forty-five billion, five hundred sixty-eight million, five hundred seventy-nine thousand, fifty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 4993 6006 9986 14979 29958 34951 54923 64909 68213 69902 104853 109846 129818 136426 164769 194727 204639 209706 329538 384461 389454 409278 454363 477491 713999 750343 768922 886769 908726 954982 1153383 1363089 1427998 1432473 1500686 1773538 2141997 2251029 2306766 2660307 2726178 2864946 4283994 4502058 4997993 5252401 5320614 6207383 9754459 9995986 10504802 12414766 14993979 15757203 18622149 19508918 29263377 29987958 31514406 37244298 58526754 68281213 136562426 204843639 340587509 409687278 681175018 1021762527 2043525054 2384112563 3746462599 4427637617 4768225126 7152337689 7492925198 8855275234 11239387797 13282912851 14304675378 22478775594 26225238193 26565825702 30993463319 48704013787 52450476386 61986926638 78675714579 92980389957 97408027574 146112041361 157351429158 185960779914 292224082722 340928096509 681856193018 1022784289527 2045568579054