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19341436649472 = 2173117217
BaseRepresentation
bin1000110010111010001110…
…11101100000000000000000
32112111000121222100000000000
410121131013131200000000
510013342230240240342
6105045200000000000
74034241554633400
oct431350735400000
975430558300000
1019341436649472
1161877258384a3
122204600000000
13aa3b7473a5c2
144ac1b8256800
152381ad99944c
hex119747760000

19341436649472 has 1296 divisors, whose sum is σ = 71467710546960. Its totient is φ = 5201058594816.

The previous prime is 19341436649453. The next prime is 19341436649519. The reversal of 19341436649472 is 27494663414391.

19341436649472 is a `hidden beast` number, since 1 + 9 + 3 + 4 + 14 + 3 + 66 + 494 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1137731567608 + ... + 1137731567624.

It is an arithmetic number, because the mean of its divisors is an integer number (55144838385).

Almost surely, 219341436649472 is an apocalyptic number.

19341436649472 is a gapful number since it is divisible by the number (12) 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 19341436649472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35733855273480).

19341436649472 is an abundant number, since it is smaller than the sum of its proper divisors (52126273897488).

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

19341436649472 is an frugal number, since it uses more digits than its factorization.

19341436649472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 29 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 19341436649472 in words is "nineteen trillion, three hundred forty-one billion, four hundred thirty-six million, six hundred forty-nine thousand, four hundred seventy-two".