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13401295061780 = 2252923105681141
BaseRepresentation
bin1100001100000011101101…
…1011101000001100010100
31202110011002021221212001102
43003000323123220030110
53224031323013434110
644300245302245232
72552132404344623
oct303007333501424
952404067855042
1013401295061780
1142a750376718a
121605316726818
137629766c2ab2
143448aa1c16ba
151838e9ae75a5
hexc303b6e8314

13401295061780 has 24 divisors (see below), whose sum is σ = 29113158238920. Its totient is φ = 5175672575360.

The previous prime is 13401295061767. The next prime is 13401295061789. The reversal of 13401295061780 is 8716059210431.

It can be written as a sum of positive squares in 4 ways, for example, as 2301549931396 + 11099745130384 = 1517086^2 + 3331628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13401295061789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11552839991 + ... + 11552841150.

It is an arithmetic number, because the mean of its divisors is an integer number (1213048259955).

It is a 1-persistent number, because it is pandigital, but 2⋅13401295061780 = 26802590123560 is not.

Almost surely, 213401295061780 is an apocalyptic number.

13401295061780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13401295061780 is an abundant number, since it is smaller than the sum of its proper divisors (15711863177140).

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

13401295061780 is a wasteful number, since it uses less digits than its factorization.

13401295061780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23105681179 (or 23105681177 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 13401295061780 in words is "thirteen trillion, four hundred one billion, two hundred ninety-five million, sixty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 23105681141 46211362282 92422724564 115528405705 231056811410 462113622820 670064753089 1340129506178 2680259012356 3350323765445 6700647530890 13401295061780