Search a number
-
+
11511055561016 = 23113119992110853
BaseRepresentation
bin1010011110000010000001…
…1000001011000100111000
31111202110001020212002011202
42213200200120023010320
53002044120210423031
640252034513513332
72265434454604214
oct247404030130470
944673036762152
1011511055561016
1137388a1853aa0
12135ab05272848
13656645b50abb
142bb1d0bad944
1514e667ba42cb
hexa782060b138

11511055561016 has 64 divisors (see below), whose sum is σ = 24317038080000. Its totient is φ = 5060978755200.

The previous prime is 11511055561003. The next prime is 11511055561079. The reversal of 11511055561016 is 61016555011511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4397846 + ... + 6508698.

It is an arithmetic number, because the mean of its divisors is an integer number (379953720000).

Almost surely, 211511055561016 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 11511055561016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12158519040000).

11511055561016 is an abundant number, since it is smaller than the sum of its proper divisors (12805982518984).

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

11511055561016 is a wasteful number, since it uses less digits than its factorization.

11511055561016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112900 (or 2112896 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 38.

The spelling of 11511055561016 in words is "eleven trillion, five hundred eleven billion, fifty-five million, five hundred sixty-one thousand, sixteen".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 1999 2728 3998 7996 15992 21989 43978 61969 87956 123938 175912 247876 495752 681659 1363318 2110853 2726636 4221706 5453272 8443412 16886824 23219383 46438766 65436443 92877532 130872886 185755064 261745772 523491544 719800873 1439601746 2879203492 4219595147 5758406984 8439190294 16878380588 33756761176 46415546617 92831093234 130807449557 185662186468 261614899114 371324372936 523229798228 1046459596456 1438881945127 2877763890254 5755527780508 11511055561016