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16557119073936 = 2434726722412
BaseRepresentation
bin1111000011110000000100…
…1100110110111010010000
32011121211211002121010010000
43300330001030312322100
54132232434440331221
655114122511210000
73326132563013400
oct360740114667220
964554732533100
1016557119073936
11530392008a5a1
121a34a69816900
1393143927028c
14413524146800
151daa4e38de26
hexf0f01336e90

16557119073936 has 675 divisors, whose sum is σ = 56825177817177. Its totient is φ = 4640663301120.

The previous prime is 16557119073899. The next prime is 16557119073941. The reversal of 16557119073936 is 63937091175561.

The square root of 16557119073936 is 4069044.

It is a perfect power (a square), and thus also a powerful number.

16557119073936 is a `hidden beast` number, since 1 + 6 + 5 + 57 + 1 + 190 + 7 + 393 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12452118907536 + 4105000166400 = 3528756^2 + 2026080^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 68701738776 + ... + 68701739016.

Almost surely, 216557119073936 is an apocalyptic number.

16557119073936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16557119073936 is the 4069044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16557119073936

16557119073936 is an abundant number, since it is smaller than the sum of its proper divisors (40268058743241).

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

16557119073936 is an frugal number, since it uses more digits than its factorization.

16557119073936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 32148900, while the sum is 63.

The spelling of 16557119073936 in words is "sixteen trillion, five hundred fifty-seven billion, one hundred nineteen million, seventy-three thousand, nine hundred thirty-six".