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16429014725640 = 2335111719291328731
BaseRepresentation
bin1110111100010010110110…
…0101100011010000001000
32011011121011021122221202120
43233010231211203100020
54123133110232210030
654535215110331240
73313646205015366
oct357045545432010
964147137587676
1016429014725640
115264562566670
121a14077959b20
1392233203905a
1440b250732636
151d7552b7a010
hexef12d963408

16429014725640 has 512 divisors, whose sum is σ = 61993320192000. Its totient is φ = 3428761190400.

The previous prime is 16429014725597. The next prime is 16429014725663. The reversal of 16429014725640 is 4652741092461.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11700075 + ... + 13028805.

It is an arithmetic number, because the mean of its divisors is an integer number (121080703500).

Almost surely, 216429014725640 is an apocalyptic number.

16429014725640 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 16429014725640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30996660096000).

16429014725640 is an abundant number, since it is smaller than the sum of its proper divisors (45564305466360).

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

16429014725640 is a wasteful number, since it uses less digits than its factorization.

16429014725640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328821 (or 1328817 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 16429014725640 in words is "sixteen trillion, four hundred twenty-nine billion, fourteen million, seven hundred twenty-five thousand, six hundred forty".