Search a number
-
+
147453552877824 = 2832297121541211
BaseRepresentation
bin100001100001101110110100…
…101000111110000100000000
3201100002102101121221221201200
4201201232310220332010000
5123311334334014042244
61241335121012501200
743026111333304404
oct4141566450760400
9640072347857650
10147453552877824
1142a8a7785476a6
12146555a061a800
136437a6c50893b
14285ab0bc1b104
15120a912d2d669
hex861bb4a3e100

147453552877824 has 108 divisors (see below), whose sum is σ = 425288062351152. Its totient is φ = 49134638361600.

The previous prime is 147453552877793. The next prime is 147453552877901. The reversal of 147453552877824 is 428778255354741.

147453552877824 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 5 + 3 + 5 + 528 + 7 + 78 + 24 = 666.

147453552877824 is digitally balanced in base 3, 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 (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3925422 + ... + 17615789.

Almost surely, 2147453552877824 is an apocalyptic number.

It is an amenable number.

147453552877824 is an abundant number, since it is smaller than the sum of its proper divisors (277834509473328).

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

147453552877824 is a wasteful number, since it uses less digits than its factorization.

147453552877824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21544204 (or 21544187 counting only the distinct ones).

The product of its digits is 2107392000, while the sum is 72.

The spelling of 147453552877824 in words is "one hundred forty-seven trillion, four hundred fifty-three billion, five hundred fifty-two million, eight hundred seventy-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2971 5942 8913 11884 17826 23768 26739 35652 47536 53478 71304 95072 106956 142608 190144 213912 285216 380288 427824 570432 760576 855648 1140864 1711296 2281728 3422592 6845184 21541211 43082422 64623633 86164844 129247266 172329688 193870899 258494532 344659376 387741798 516989064 689318752 775483596 1033978128 1378637504 1550967192 2067956256 2757275008 3101934384 4135912512 5514550016 6203868768 8271825024 12407737536 16543650048 24815475072 49630950144 63998937881 127997875762 191996813643 255995751524 383993627286 511991503048 575990440929 767987254572 1023983006096 1151980881858 1535974509144 2047966012192 2303961763716 3071949018288 4095932024384 4607923527432 6143898036576 8191864048768 9215847054864 12287796073152 16383728097536 18431694109728 24575592146304 36863388219456 49151184292608 73726776438912 147453552877824