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12164160150 = 2335214996011
BaseRepresentation
bin10110101010000101…
…00101101010010110
31011101202000100202000
423111002211222112
5144403011111100
65331012100130
7610303440522
oct132502455226
934352010660
1012164160150
11518239561a
122435904646
1311bb1809cc
14835750d82
154b2d9a900
hex2d50a5a96

12164160150 has 96 divisors (see below), whose sum is σ = 33546960000. Its totient is φ = 3241072800.

The previous prime is 12164160149. The next prime is 12164160157. The reversal of 12164160150 is 5106146121.

12164160150 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 4 + 1 + 601 + 50 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12164160157) 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, 2020645 + ... + 2026655.

It is an arithmetic number, because the mean of its divisors is an integer number (349447500).

Almost surely, 212164160150 is an apocalyptic number.

12164160150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12164160150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16773480000).

12164160150 is an abundant number, since it is smaller than the sum of its proper divisors (21382799850).

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

12164160150 is a wasteful number, since it uses less digits than its factorization.

12164160150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7531 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12164160150 in words is "twelve billion, one hundred sixty-four million, one hundred sixty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 1499 2998 4497 6011 7495 8994 12022 13491 14990 18033 22485 26982 30055 36066 37475 40473 44970 54099 60110 67455 74950 80946 90165 108198 112425 134910 150275 162297 180330 202365 224850 270495 300550 324594 337275 404730 450825 540990 674550 811485 901650 1011825 1352475 1622970 2023650 2704950 4057425 8114850 9010489 18020978 27031467 45052445 54062934 81094401 90104890 135157335 162188802 225262225 243283203 270314670 405472005 450524450 486566406 675786675 810944010 1216416015 1351573350 2027360025 2432832030 4054720050 6082080075 12164160150