Search a number
-
+
16145846815168 = 267322133433347
BaseRepresentation
bin1110101011110011111101…
…1101101100100111000000
32010011112020211021200001201
43222330333131230213000
54104013143241041133
654201144415310544
73254333064340240
oct352747735544700
963145224250051
1016145846815168
115165462673364
12198920b51b454
139017154a0645
143db66ac81b20
151ceecd076d7d
hexeaf3f76c9c0

16145846815168 has 112 divisors (see below), whose sum is σ = 36649745409024. Its totient is φ = 6913364935680.

The previous prime is 16145846815039. The next prime is 16145846815169. The reversal of 16145846815168 is 86151864854161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16145846815169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4823974071 + ... + 4823977417.

Almost surely, 216145846815168 is an apocalyptic number.

It is an amenable number.

16145846815168 is an abundant number, since it is smaller than the sum of its proper divisors (20503898593856).

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

16145846815168 is a wasteful number, since it uses less digits than its factorization.

16145846815168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9930 (or 9920 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 64.

The spelling of 16145846815168 in words is "sixteen trillion, one hundred forty-five billion, eight hundred forty-six million, eight hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 3221 3343 3347 6442 6686 6694 12884 13372 13388 22547 23401 23429 25768 26744 26776 45094 46802 46858 51536 53488 53552 90188 93604 93716 103072 106976 107104 180376 187208 187432 206144 213952 214208 360752 374416 374864 721504 748832 749728 1443008 1497664 1499456 10767803 10780687 11189021 21535606 21561374 22378042 43071212 43122748 44756084 75374621 75464809 78323147 86142424 86245496 89512168 150749242 150929618 156646294 172284848 172490992 179024336 301498484 301859236 313292588 344569696 344981984 358048672 602996968 603718472 626585176 689139392 689963968 716097344 1205993936 1207436944 1253170352 2411987872 2414873888 2506340704 4823975744 4829747776 5012681408 36039836641 72079673282 144159346564 252278856487 288318693128 504557712974 576637386256 1009115425948 1153274772512 2018230851896 2306549545024 4036461703792 8072923407584 16145846815168