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167141084052 = 22337223994241
BaseRepresentation
bin1001101110101001100…
…0101000101110010100
3120222102100102210201110
42123222120220232110
510214301104142202
6204441125255020
715034624526145
oct2335230505624
9528370383643
10167141084052
116497a86a318
1228487264470
13129b886c447
1481380b7acc
15453387426c
hex26ea628b94

167141084052 has 72 divisors (see below), whose sum is σ = 401082796800. Its totient is φ = 54172546560.

The previous prime is 167141084051. The next prime is 167141084171. The reversal of 167141084052 is 250480141761.

167141084052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1671410840523 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 167141084052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167141084051) 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, 39408652 + ... + 39412892.

It is an arithmetic number, because the mean of its divisors is an integer number (5570594400).

Almost surely, 2167141084052 is an apocalyptic number.

167141084052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

167141084052 is an abundant number, since it is smaller than the sum of its proper divisors (233941712748).

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

167141084052 is a wasteful number, since it uses less digits than its factorization.

167141084052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6721 (or 6682 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 167141084052 in words is "one hundred sixty-seven billion, one hundred forty-one million, eighty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 1369 2399 2738 4107 4241 4798 5476 7197 8214 8482 9596 12723 14394 16428 16964 25446 28788 50892 88763 156917 177526 266289 313834 355052 470751 532578 627668 941502 1065156 1883004 3284231 5805929 6568462 9852693 10174159 11611858 13136924 17417787 19705386 20348318 23223716 30522477 34835574 39410772 40696636 61044954 69671148 122089908 376443883 752887766 1129331649 1505775532 2258663298 4517326596 13928423671 27856847342 41785271013 55713694684 83570542026 167141084052