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1050146136546 = 2313113267744507
BaseRepresentation
bin11110100100000011001…
…01100110000111100010
310201101121111020002202120
433102001211212013202
5114201144402332141
62122232552125110
7135604412610603
oct17220145460742
93641544202676
101050146136546
11375401131551
1214b637996796
137804a3b3aa0
1438b82337daa
151c4b3d75c66
hexf4819661e2

1050146136546 has 64 divisors (see below), whose sum is σ = 2282773304448. Its totient is φ = 320135574528.

The previous prime is 1050146136527. The next prime is 1050146136581. The reversal of 1050146136546 is 6456316410501.

It is a super-3 number, since 3×10501461365463 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1050146136498 and 1050146136507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23572825 + ... + 23617331.

It is an arithmetic number, because the mean of its divisors is an integer number (35668332882).

Almost surely, 21050146136546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050146136546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141386652224).

1050146136546 is an abundant number, since it is smaller than the sum of its proper divisors (1232627167902).

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

1050146136546 is a wasteful number, since it uses less digits than its factorization.

1050146136546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47315.

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 1050146136546 in words is "one trillion, fifty billion, one hundred forty-six million, one hundred thirty-six thousand, five hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 113 226 339 678 1469 2677 2938 4407 5354 8031 8814 16062 34801 44507 69602 89014 104403 133521 208806 267042 302501 578591 605002 907503 1157182 1735773 1815006 3471546 3932513 5029291 7865026 10058582 11797539 15087873 23595078 30175746 65380783 119145239 130761566 196142349 238290478 357435717 392284698 714871434 1548888107 3097776214 4646664321 9293328642 13463412007 26926824014 40390236021 80780472042 175024356091 350048712182 525073068273 1050146136546