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12381520403032 = 231161137181191487
BaseRepresentation
bin1011010000101100110000…
…1000000001101001011000
31121211122212110000200101221
42310023030020001221120
53110324323210344112
642155554132221424
72415351421642354
oct264131410015130
947748773020357
1012381520403032
113a43a78533510
12147b75616a874
136ba75963a261
1430b3a9790464
151671122c7e07
hexb42cc201a58

12381520403032 has 256 divisors, whose sum is σ = 26262479093760. Its totient is φ = 5425159680000.

The previous prime is 12381520403017. The next prime is 12381520403051. The reversal of 12381520403032 is 23030402518321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25424066293 + ... + 25424066779.

It is an arithmetic number, because the mean of its divisors is an integer number (102587808960).

Almost surely, 212381520403032 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 12381520403032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13131239546880).

12381520403032 is an abundant number, since it is smaller than the sum of its proper divisors (13880958690728).

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

12381520403032 is a wasteful number, since it uses less digits than its factorization.

12381520403032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 12381520403032 in words is "twelve trillion, three hundred eighty-one billion, five hundred twenty million, four hundred three thousand, thirty-two".