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16057958400000 = 2193455112
BaseRepresentation
bin1110100110101100100011…
…1010000000000000000000
32002212010101201201120210000
43221223020322000000000
54101043144322300000
654052531345440000
73245102115210546
oct351531072000000
962763351646700
1016057958400000
115131161983200
121974181940000
138c6349c9425a
143d72d05a7d96
151cca872a0000
hexe9ac8e80000

16057958400000 has 1800 divisors, whose sum is σ = 65912646457350. Its totient is φ = 3892838400000.

The previous prime is 16057958399993. The next prime is 16057958400017. The reversal of 16057958400000 is 485975061.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

16057958400000 is a `hidden beast` number, since 1 + 60 + 5 + 7 + 9 + 584 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 23123460096 + 16034834939904 = 152064^2 + 4004352^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×160579584000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1459814399995 + ... + 1459814400005.

Almost surely, 216057958400000 is an apocalyptic number.

16057958400000 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 16057958400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32956323228675).

16057958400000 is an abundant number, since it is smaller than the sum of its proper divisors (49854688057350).

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

16057958400000 is an frugal number, since it uses more digits than its factorization.

16057958400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 16057958400000 in words is "sixteen trillion, fifty-seven billion, nine hundred fifty-eight million, four hundred thousand".