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15420553147296 = 25331119269317459
BaseRepresentation
bin1110000001100110000010…
…0101111011001110100000
32000121012010212021210221000
43200121200211323032200
54010122243101203141
652444034311032000
73151045453024623
oct340314045731640
960535125253830
1015420553147296
114a05902269720
12189073406b600
1387b1c8a0862b
143b45045cbdba
151bb1cd63e5b6
hexe066097b3a0

15420553147296 has 384 divisors, whose sum is σ = 51839948160000. Its totient is φ = 4410482088960.

The previous prime is 15420553147261. The next prime is 15420553147297. The reversal of 15420553147296 is 69274135502451.

15420553147296 is a `hidden beast` number, since 1 + 5 + 4 + 2 + 0 + 55 + 31 + 472 + 96 = 666.

It is a super-2 number, since 2×154205531472962 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (15420553147297) 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 63 ways as a sum of consecutive naturals, for example, 48416215 + ... + 48733673.

It is an arithmetic number, because the mean of its divisors is an integer number (134999865000).

Almost surely, 215420553147296 is an apocalyptic number.

15420553147296 is a gapful number since it is divisible by the number (16) 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 15420553147296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25919974080000).

15420553147296 is an abundant number, since it is smaller than the sum of its proper divisors (36419395012704).

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

15420553147296 is a wasteful number, since it uses less digits than its factorization.

15420553147296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317777 (or 317763 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 15420553147296 in words is "fifteen trillion, four hundred twenty billion, five hundred fifty-three million, one hundred forty-seven thousand, two hundred ninety-six".