Search a number
-
+
2153661104052 = 223426924710417
BaseRepresentation
bin11111010101110000001…
…101000111111110110100
321121212222100022201110000
4133111300031013332310
5240241144220312202
64325213411431300
7311411505224043
oct37256015077664
97555870281400
102153661104052
117603a9602667
122a94888b5530
13128121469293
147634857855a
153b04d1dd91c
hex1f570347fb4

2153661104052 has 60 divisors (see below), whose sum is σ = 5651025492420. Its totient is φ = 715218280704.

The previous prime is 2153661103897. The next prime is 2153661104069. The reversal of 2153661104052 is 2504011663512.

2153661104052 is a `hidden beast` number, since 2 + 1 + 5 + 36 + 611 + 0 + 4 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 342709551396 + 1810951552656 = 585414^2 + 1345716^2 .

It is a super-2 number, since 2×21536611040522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2153661103998 and 2153661104016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12268053 + ... + 12442364.

It is an arithmetic number, because the mean of its divisors is an integer number (94183758207).

Almost surely, 22153661104052 is an apocalyptic number.

It is an amenable number.

2153661104052 is an abundant number, since it is smaller than the sum of its proper divisors (3497364388368).

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

2153661104052 is a wasteful number, since it uses less digits than its factorization.

2153661104052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24710702 (or 24710691 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 2153661104052 its reverse (2504011663512), we get a palindrome (4657672767564).

The spelling of 2153661104052 in words is "two trillion, one hundred fifty-three billion, six hundred sixty-one million, one hundred four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 269 324 538 807 1076 1614 2421 3228 4842 7263 9684 14526 21789 29052 43578 87156 24710417 49420834 74131251 98841668 148262502 222393753 296525004 444787506 667181259 889575012 1334362518 2001543777 2668725036 4003087554 6647102173 8006175108 13294204346 19941306519 26588408692 39882613038 59823919557 79765226076 119647839114 179471758671 239295678228 358943517342 538415276013 717887034684 1076830552026 2153661104052