Search a number
-
+
11045670133056 = 2631331142753181
BaseRepresentation
bin1010000010111100010100…
…1111101001110101000000
31110002221210202001211002220
42200233011033221311000
52421433013023224211
635254151045011040
72220011001000306
oct240570517516500
943087722054086
1011045670133056
113579495914929
1212a48846b3a80
136217aa118020
142a2882c06276
151424cad6a806
hexa0bc53e9d40

11045670133056 has 112 divisors (see below), whose sum is σ = 32488340172288. Its totient is φ = 3289033267200.

The previous prime is 11045670133021. The next prime is 11045670133063. The reversal of 11045670133056 is 65033107654011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11045670132999 and 11045670133017.

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, 71299215 + ... + 71453966.

It is an arithmetic number, because the mean of its divisors is an integer number (290074465824).

Almost surely, 211045670133056 is an apocalyptic number.

11045670133056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11045670133056 is an abundant number, since it is smaller than the sum of its proper divisors (21442670039232).

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

11045670133056 is a wasteful number, since it uses less digits than its factorization.

11045670133056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142753240 (or 142753230 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

Adding to 11045670133056 its reverse (65033107654011), we get a palindrome (76078777787067).

The spelling of 11045670133056 in words is "eleven trillion, forty-five billion, six hundred seventy million, one hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3224 4836 5952 6448 9672 12896 19344 25792 38688 77376 142753181 285506362 428259543 571012724 856519086 1142025448 1713038172 1855791353 2284050896 3426076344 3711582706 4425348611 4568101792 5567374059 6852152688 7423165412 8850697222 9136203584 11134748118 13276045833 13704305376 14846330824 17701394444 22269496236 26552091666 27408610752 29692661648 35402788888 44538992472 53104183332 57529531943 59385323296 70805577776 89077984944 106208366664 115059063886 118770646592 141611155552 172588595829 178155969888 212416733328 230118127772 283222311104 345177191658 356311939776 424833466656 460236255544 690354383316 849666933312 920472511088 1380708766632 1840945022176 2761417533264 3681890044352 5522835066528 11045670133056