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1320131257632 = 253211416708099
BaseRepresentation
bin10011001101011101111…
…101000110010100100000
311200012111012212022002200
4103031131331012110200
5133112112100221012
62450243202213200
7164243040354525
oct23153575062440
94605435768080
101320131257632
11469956751aa0
12193a25354200
1397645a3b0c5
1447c7507b14c
152451646c3dc
hex1335df46520

1320131257632 has 72 divisors (see below), whose sum is σ = 4095407206800. Its totient is φ = 400039774080.

The previous prime is 1320131257609. The next prime is 1320131257657. The reversal of 1320131257632 is 2367521310231.

1320131257632 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 3 + 12 + 5 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208350882 + ... + 208357217.

It is an arithmetic number, because the mean of its divisors is an integer number (56880655650).

Almost surely, 21320131257632 is an apocalyptic number.

1320131257632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1320131257632 is an abundant number, since it is smaller than the sum of its proper divisors (2775275949168).

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

1320131257632 is a wasteful number, since it uses less digits than its factorization.

1320131257632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416708126 (or 416708115 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 1320131257632 its reverse (2367521310231), we get a palindrome (3687652567863).

The spelling of 1320131257632 in words is "one trillion, three hundred twenty billion, one hundred thirty-one million, two hundred fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 416708099 833416198 1250124297 1666832396 2500248594 3333664792 3750372891 4583789089 5000497188 6667329584 7500745782 9167578178 10000994376 13334659168 13751367267 15001491564 18335156356 20001988752 27502734534 30002983128 36670312712 40003977504 41254101801 55005469068 60005966256 73340625424 82508203602 110010938136 120011932512 146681250848 165016407204 220021876272 330032814408 440043752544 660065628816 1320131257632