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11000046406212 = 223531365061941
BaseRepresentation
bin1010000000010010010111…
…0110111100101001000100
31102221121001010222100200000
42200010211312330221010
52420211043334444322
635221203534121300
72213504255502363
oct240044566745104
942847033870600
1011000046406212
113561103475656
121297a71350230
1361a3b8c21756
142a05957b57da
1514120a7c43ac
hexa0125dbca44

11000046406212 has 72 divisors (see below), whose sum is σ = 29765690502912. Its totient is φ = 3548402056800.

The previous prime is 11000046406127. The next prime is 11000046406213. The reversal of 11000046406212 is 21260464000011.

11000046406212 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 0 + 0 + 4 + 640 + 6 + 2 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11000046406213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182500839 + ... + 182561102.

It is an arithmetic number, because the mean of its divisors is an integer number (413412368096).

Almost surely, 211000046406212 is an apocalyptic number.

11000046406212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000046406212 is an abundant number, since it is smaller than the sum of its proper divisors (18765644096700).

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

11000046406212 is a wasteful number, since it uses less digits than its factorization.

11000046406212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365061991 (or 365061977 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11000046406212 in words is "eleven trillion, forty-six million, four hundred six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 837 972 1116 1674 2511 3348 5022 7533 10044 15066 30132 365061941 730123882 1095185823 1460247764 2190371646 3285557469 4380743292 6571114938 9856672407 11316920171 13142229876 19713344814 22633840342 29570017221 33950760513 39426689628 45267680684 59140034442 67901521026 88710051663 101852281539 118280068884 135803042052 177420103326 203704563078 305556844617 354840206652 407409126156 611113689234 916670533851 1222227378468 1833341067702 2750011601553 3666682135404 5500023203106 11000046406212