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132649359168 = 26310313151203
BaseRepresentation
bin111101110001010000…
…1001001011101000000
3110200101120011122011110
41323202201021131000
54133131213443133
6140534400043320
712404113643364
oct1734241113500
9420346148143
10132649359168
1151290117967
1221860003540
13c67ca3a291
1465c52b92a4
1536b5743c63
hex1ee2849740

132649359168 has 112 divisors (see below), whose sum is σ = 357087684096. Its totient is φ = 43452065280.

The previous prime is 132649359163. The next prime is 132649359169. The reversal of 132649359168 is 861953946231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132649359163) 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, 2565055 + ... + 2616257.

Almost surely, 2132649359168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132649359168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178543842048).

132649359168 is an abundant number, since it is smaller than the sum of its proper divisors (224438324928).

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

132649359168 is a wasteful number, since it uses less digits than its factorization.

132649359168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51452 (or 51442 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 57.

The spelling of 132649359168 in words is "one hundred thirty-two billion, six hundred forty-nine million, three hundred fifty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 131 192 206 262 309 393 412 524 618 786 824 1048 1236 1572 1648 2096 2472 3144 3296 4192 4944 6288 6592 8384 9888 12576 13493 19776 25152 26986 40479 51203 53972 80958 102406 107944 153609 161916 204812 215888 307218 323832 409624 431776 614436 647664 819248 863552 1228872 1295328 1638496 2457744 2590656 3276992 4915488 5273909 6707593 9830976 10547818 13415186 15821727 20122779 21095636 26830372 31643454 40245558 42191272 53660744 63286908 80491116 84382544 107321488 126573816 160982232 168765088 214642976 253147632 321964464 337530176 429285952 506295264 643928928 690882079 1012590528 1287857856 1381764158 2072646237 2763528316 4145292474 5527056632 8290584948 11054113264 16581169896 22108226528 33162339792 44216453056 66324679584 132649359168