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214671176412 = 2237111132056001
BaseRepresentation
bin1100011111101101100…
…1100011001011011100
3202112002210200200000120
43013323121203023130
512004121310121122
6242341340154540
721336515615040
oct3077331431334
9675083620016
10214671176412
1183050312190
1235730b38a50
13173219b7a54
14a56678c020
1558b648475c
hex31fb6632dc

214671176412 has 96 divisors (see below), whose sum is σ = 630024804864. Its totient is φ = 55265280000.

The previous prime is 214671176399. The next prime is 214671176417.

214671176412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2146711764122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214671176417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 923589 + ... + 1132412.

It is an arithmetic number, because the mean of its divisors is an integer number (6562758384).

Almost surely, 2214671176412 is an apocalyptic number.

214671176412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214671176412 is an abundant number, since it is smaller than the sum of its proper divisors (415353628452).

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

214671176412 is a wasteful number, since it uses less digits than its factorization.

214671176412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056139 (or 2056137 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The spelling of 214671176412 in words is "two hundred fourteen billion, six hundred seventy-one million, one hundred seventy-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 113 132 154 226 231 308 339 452 462 678 791 924 1243 1356 1582 2373 2486 3164 3729 4746 4972 7458 8701 9492 14916 17402 26103 34804 52206 104412 2056001 4112002 6168003 8224004 12336006 14392007 22616011 24672012 28784014 43176021 45232022 57568028 67848033 86352042 90464044 135696066 158312077 172704084 232328113 271392132 316624154 464656226 474936231 633248308 696984339 929312452 949872462 1393968678 1626296791 1899744924 2555609243 2787937356 3252593582 4878890373 5111218486 6505187164 7666827729 9757780746 10222436972 15333655458 17889264701 19515561492 30667310916 35778529402 53667794103 71557058804 107335588206 214671176412