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147534346404 = 223823712
BaseRepresentation
bin1000100101100110111…
…0110111100010100100
3112002210220220100000000
42021121232313202210
54404122243041104
6151435405021300
713442016152544
oct2113156674244
9462726810000
10147534346404
1157629324105
1224714b54830
1310bb27b7433
1471d8121324
153c873da639
hex2259bb78a4

147534346404 has 81 divisors (see below), whose sum is σ = 387421383531. Its totient is φ = 49157373960.

The previous prime is 147534346397. The next prime is 147534346447. The reversal of 147534346404 is 404643435741.

The square root of 147534346404 is 384102.

It is a perfect power (a square), and thus also a powerful number.

147534346404 is a `hidden beast` number, since 1 + 47 + 534 + 34 + 6 + 40 + 4 = 666.

147534346404 is digitally balanced in base 2, 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 (81).

It is a self number, because there is not a number n which added to its sum of digits gives 147534346404.

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 26 ways as a sum of consecutive naturals, for example, 62223339 + ... + 62225709.

Almost surely, 2147534346404 is an apocalyptic number.

147534346404 is the 384102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147534346404

147534346404 is an abundant number, since it is smaller than the sum of its proper divisors (239887037127).

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

147534346404 is an frugal number, since it uses more digits than its factorization.

147534346404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 147534346404 in words is "one hundred forty-seven billion, five hundred thirty-four million, three hundred forty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2371 2916 4374 4742 6561 7113 8748 9484 13122 14226 21339 26244 28452 42678 64017 85356 128034 192051 256068 384102 576153 768204 1152306 1728459 2304612 3456918 5185377 5621641 6913836 10370754 11243282 15556131 16864923 20741508 22486564 31112262 33729846 50594769 62224524 67459692 101189538 151784307 202379076 303568614 455352921 607137228 910705842 1366058763 1821411684 2732117526 4098176289 5464235052 8196352578 12294528867 16392705156 24589057734 36883586601 49178115468 73767173202 147534346404