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16433770003992 = 233511171923314771
BaseRepresentation
bin1110111100100100100100…
…0001011111111000011000
32011012001102200120010100000
43233021021001133320120
54123222330110111432
654541323020413000
73314205066143565
oct357111101377030
964161380503300
1016433770003992
115266582815680
121a14b843a7160
1392290c282923
1440b5820cd86c
151d773039157c
hexef24905fe18

16433770003992 has 3072 divisors, whose sum is σ = 62605334937600. Its totient is φ = 3966133248000.

The previous prime is 16433770003939. The next prime is 16433770004021. The reversal of 16433770003992 is 29930007733461.

16433770003992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 231461549317 + ... + 231461549387.

It is an arithmetic number, because the mean of its divisors is an integer number (20379340800).

Almost surely, 216433770003992 is an apocalyptic number.

16433770003992 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 16433770003992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31302667468800).

16433770003992 is an abundant number, since it is smaller than the sum of its proper divisors (46171564933608).

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

16433770003992 is a wasteful number, since it uses less digits than its factorization.

16433770003992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 16433770003992 in words is "sixteen trillion, four hundred thirty-three billion, seven hundred seventy million, three thousand, nine hundred ninety-two".