Search a number
-
+
16374044333952 = 2732241175933529
BaseRepresentation
bin1110111001000110000100…
…0110001001011110000000
32010222100021022011201112200
43232101201012021132000
54121233020322141302
654454044312153200
73306662040262644
oct356214106113600
963870238151480
1016374044333952
115243214179798
121a05496398800
1391a0b1606376
14408717c4ac24
151d5dd6c7b81c
hexee461189780

16374044333952 has 192 divisors, whose sum is σ = 47341838544000. Its totient is φ = 5432115363840.

The previous prime is 16374044333951. The next prime is 16374044333993. The reversal of 16374044333952 is 25933344047361.

It is a happy number.

16374044333952 is a `hidden beast` number, since 1 + 63 + 74 + 0 + 4 + 433 + 39 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16374044333951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488337924 + ... + 488371452.

It is an arithmetic number, because the mean of its divisors is an integer number (246572075750).

Almost surely, 216374044333952 is an apocalyptic number.

16374044333952 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 16374044333952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23670919272000).

16374044333952 is an abundant number, since it is smaller than the sum of its proper divisors (30967794210048).

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

16374044333952 is a wasteful number, since it uses less digits than its factorization.

16374044333952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35549 (or 35534 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 16374044333952 in words is "sixteen trillion, three hundred seventy-four billion, forty-four million, three hundred thirty-three thousand, nine hundred fifty-two".