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16042666682952 = 233271324113217691
BaseRepresentation
bin1110100101110011100101…
…1100101110101001001000
32002210122221000122212112100
43221130321130232221020
54100320340132323302
654041522131113400
73244021143600240
oct351347134565110
962718830585470
1016042666682952
115125725124918
121971214742860
138c4a80b8a580
143d667d728b20
151cc48ea65d1c
hexe973972ea48

16042666682952 has 384 divisors, whose sum is σ = 53745082110720. Its totient is φ = 4209739776000.

The previous prime is 16042666682921. The next prime is 16042666682993. The reversal of 16042666682952 is 25928666624061.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16042666682952.

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, 2085897427 + ... + 2085905117.

It is an arithmetic number, because the mean of its divisors is an integer number (139961151330).

Almost surely, 216042666682952 is an apocalyptic number.

16042666682952 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 16042666682952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26872541055360).

16042666682952 is an abundant number, since it is smaller than the sum of its proper divisors (37702415427768).

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

16042666682952 is a wasteful number, since it uses less digits than its factorization.

16042666682952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9285 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 16042666682952 in words is "sixteen trillion, forty-two billion, six hundred sixty-six million, six hundred eighty-two thousand, nine hundred fifty-two".