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16061540131000 = 2353713253256169
BaseRepresentation
bin1110100110111001111001…
…1001001110000010111000
32002212110122100101101000201
43221232132121032002320
54101123013233143000
654054323014411544
73245256636343150
oct351563631160270
962773570341021
1016061540131000
11513272a753771
121974a01360bb4
138c679b048b00
143d755015d760
151ccbe695396a
hexe9b9e64e0b8

16061540131000 has 384 divisors, whose sum is σ = 47389154716800. Its totient is φ = 4987283558400.

The previous prime is 16061540130997. The next prime is 16061540131031. The reversal of 16061540131000 is 13104516061.

It is a super-2 number, since 2×160615401310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 16061540131000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62570916 + ... + 62827084.

It is an arithmetic number, because the mean of its divisors is an integer number (123409257075).

Almost surely, 216061540131000 is an apocalyptic number.

16061540131000 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 16061540131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23694577358400).

16061540131000 is an abundant number, since it is smaller than the sum of its proper divisors (31327614585800).

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

16061540131000 is a wasteful number, since it uses less digits than its factorization.

16061540131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256276 (or 256249 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 16061540131000 its reverse (13104516061), we get a palindrome (16074644647061).

The spelling of 16061540131000 in words is "sixteen trillion, sixty-one billion, five hundred forty million, one hundred thirty-one thousand".