| Base | Representation |
|---|---|
| bin | 11110001111000000101000… |
| … | …010111011111001000000000 |
| 3 | 122102211002012120111000002010 |
| 4 | 132033000220113133020000 |
| 5 | 114412111411332321400 |
| 6 | 1150450520222252520 |
| 7 | 40002654356031210 |
| oct | 3617005027371000 |
| 9 | 572732176430063 |
| 10 | 132972864729600 |
| 11 | 394075255a96a5 |
| 12 | 12ab7047427140 |
| 13 | 5927397391b6c |
| 14 | 24b9cc72c0240 |
| 15 | 1058de1937450 |
| hex | 78f0285df200 |
132972864729600 has 960 divisors, whose sum is σ = 506459755929600. Its totient is φ = 30126189772800.
The previous prime is 132972864729569. The next prime is 132972864729631. The reversal of 132972864729600 is 6927468279231.
It is an interprime number because it is at equal distance from previous prime (132972864729569) and next prime (132972864729631).
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-2 number, since 2×1329728647296002 (a number of 29 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14496110614 + ... + 14496119786.
It is an arithmetic number, because the mean of its divisors is an integer number (527562245760).
Almost surely, 2132972864729600 is an apocalyptic number.
132972864729600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132972864729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253229877964800).
132972864729600 is an abundant number, since it is smaller than the sum of its proper divisors (373486891200000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132972864729600 is a wasteful number, since it uses less digits than its factorization.
132972864729600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9681 (or 9660 counting only the distinct ones).
The product of its (nonzero) digits is 109734912, while the sum is 66.
The spelling of 132972864729600 in words is "one hundred thirty-two trillion, nine hundred seventy-two billion, eight hundred sixty-four million, seven hundred twenty-nine thousand, six hundred".
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