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4166299376976 = 24311231109212293
BaseRepresentation
bin111100101000001010110…
…010110101110101010000
3112202021221120022100121110
4330220022302311311100
51021230040120030401
612505545502453320
7610001532250632
oct74501262656520
915667846270543
104166299376976
111366a10423a00
12573559294240
13242b5a171449
14105915712a52
15735959b99d6
hex3ca0acb5d50

4166299376976 has 240 divisors, whose sum is σ = 12324057320960. Its totient is φ = 1210573900800.

The previous prime is 4166299376959. The next prime is 4166299376977. The reversal of 4166299376976 is 6796739926614.

It is a super-3 number, since 3×41662993769763 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4166299376898 and 4166299376907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166299376977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19519086 + ... + 19731378.

Almost surely, 24166299376976 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 4166299376976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162028660480).

4166299376976 is an abundant number, since it is smaller than the sum of its proper divisors (8157757943984).

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

4166299376976 is a wasteful number, since it uses less digits than its factorization.

4166299376976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212466 (or 212449 counting only the distinct ones).

The product of its digits is 1111065984, while the sum is 75.

The spelling of 4166299376976 in words is "four trillion, one hundred sixty-six billion, two hundred ninety-nine million, three hundred seventy-six thousand, nine hundred seventy-six".