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147147109152 = 2533773567487
BaseRepresentation
bin1000100100001010100…
…1101011001100100000
3112001210221020122100120
42021002221223030200
54402324124443102
6151333133120240
713426304535141
oct2110251531440
9461727218316
10147147109152
115744a78601a
1224627329080
1310b504c4074
14719c91dac8
153c633e86bc
hex2242a6b320

147147109152 has 96 divisors (see below), whose sum is σ = 402135616512. Its totient is φ = 47069558784.

The previous prime is 147147109127. The next prime is 147147109157. The reversal of 147147109152 is 251901741741.

147147109152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (147147109157) 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, 24448 + ... + 543039.

It is an arithmetic number, because the mean of its divisors is an integer number (4188912672).

Almost surely, 2147147109152 is an apocalyptic number.

147147109152 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 147147109152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201067808256).

147147109152 is an abundant number, since it is smaller than the sum of its proper divisors (254988507360).

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

147147109152 is a wasteful number, since it uses less digits than its factorization.

147147109152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567610 (or 567602 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 147147109152 in words is "one hundred forty-seven billion, one hundred forty-seven million, one hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 73 74 96 111 146 148 219 222 292 296 438 444 584 592 876 888 1168 1184 1752 1776 2336 2701 3504 3552 5402 7008 8103 10804 16206 21608 32412 43216 64824 86432 129648 259296 567487 1134974 1702461 2269948 3404922 4539896 6809844 9079792 13619688 18159584 20997019 27239376 41426551 41994038 54478752 62991057 82853102 83988076 124279653 125982114 165706204 167976152 248559306 251964228 331412408 335952304 497118612 503928456 662824816 671904608 994237224 1007856912 1325649632 1532782387 1988474448 2015713824 3065564774 3976948896 4598347161 6131129548 9196694322 12262259096 18393388644 24524518192 36786777288 49049036384 73573554576 147147109152