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4131672168 = 2331327747807
BaseRepresentation
bin1111011001000100…
…0101000001101000
3101122221110200201010
43312101011001220
531430202002133
61521552023520
7204246430311
oct36621050150
911587420633
104131672168
1118302484a8
12973831ba0
1350aca4340
142b2a2b608
15192ad4263
hexf6445068

4131672168 has 64 divisors (see below), whose sum is σ = 11164124160. Its totient is φ = 1266667776.

The previous prime is 4131672143. The next prime is 4131672179. The reversal of 4131672168 is 8612761314.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62521 + ... + 110327.

It is an arithmetic number, because the mean of its divisors is an integer number (174439440).

Almost surely, 24131672168 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 4131672168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582062080).

4131672168 is an abundant number, since it is smaller than the sum of its proper divisors (7032451992).

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

4131672168 is a wasteful number, since it uses less digits than its factorization.

4131672168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48106 (or 48102 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 4131672168 is about 64278.0846634372. The cubic root of 4131672168 is about 1604.6313944722.

The spelling of 4131672168 in words is "four billion, one hundred thirty-one million, six hundred seventy-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 277 312 554 831 1108 1662 2216 3324 3601 6648 7202 10803 14404 21606 28808 43212 47807 86424 95614 143421 191228 286842 382456 573684 621491 1147368 1242982 1864473 2485964 3728946 4971928 7457892 13242539 14915784 26485078 39727617 52970156 79455234 105940312 158910468 172153007 317820936 344306014 516459021 688612028 1032918042 1377224056 2065836084 4131672168