Search a number
-
+
147605260368 = 24323814716411
BaseRepresentation
bin1000100101110111110…
…1011000100001010000
3112002222212100010200010
42021131331120201100
54404243421312433
6151450420554520
713443540004026
oct2113575304120
9462885303603
10147605260368
1157665359895
1224734852a40
1310bc43b5c67
147203700716
153c8d746e63
hex225df58850

147605260368 has 80 divisors (see below), whose sum is σ = 397965528576. Its totient is φ = 47053902720.

The previous prime is 147605260351. The next prime is 147605260399. The reversal of 147605260368 is 863062506741.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8986083 + ... + 9002493.

Almost surely, 2147605260368 is an apocalyptic number.

It is an amenable number.

147605260368 is an abundant number, since it is smaller than the sum of its proper divisors (250360268208).

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

147605260368 is a wasteful number, since it uses less digits than its factorization.

147605260368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24592 (or 24586 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 147605260368 in words is "one hundred forty-seven billion, six hundred five million, two hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 8147 16294 16411 24441 32588 32822 48882 49233 65176 65644 97764 98466 130352 131288 187381 195528 196932 262576 374762 377453 391056 393864 562143 749524 754906 787728 1124286 1132359 1499048 1509812 2248572 2264718 2998096 3019624 4497144 4529436 6039248 8994288 9058872 18117744 133700417 267400834 401101251 534801668 802202502 1069603336 1604405004 2139206672 3075109591 3208810008 6150219182 6417620016 9225328773 12300438364 18450657546 24600876728 36901315092 49201753456 73802630184 147605260368