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129212766669504 = 26372915733296343
BaseRepresentation
bin11101011000010010110001…
…000011101100101011000000
3121221111121201212121112222110
4131120102301003230223000
5113414010221231411004
61134451305303335320
736134212545620310
oct3530226103545300
9557447655545873
10129212766669504
1138197910240271
12125aa372151540
13571393355332b
1423c9d075c5440
15ee11c1eb8589
hex7584b10ecac0

129212766669504 has 448 divisors, whose sum is σ = 406948496947200. Its totient is φ = 35401642278912.

The previous prime is 129212766669433. The next prime is 129212766669517. The reversal of 129212766669504 is 405966667212921.

It is a tau number, because it is divible by the number of its divisors (448).

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, 20370920157 + ... + 20370926499.

Almost surely, 2129212766669504 is an apocalyptic number.

129212766669504 is a gapful number since it is divisible by the number (14) 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 129212766669504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203474248473600).

129212766669504 is an abundant number, since it is smaller than the sum of its proper divisors (277735730277696).

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

129212766669504 is a wasteful number, since it uses less digits than its factorization.

129212766669504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9880 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 129212766669504 in words is "one hundred twenty-nine trillion, two hundred twelve billion, seven hundred sixty-six million, six hundred sixty-nine thousand, five hundred four".