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156743011648 = 2619261111217
BaseRepresentation
bin1001000111111010011…
…1001000110101000000
3112222120200121222220201
42101332213020311000
510032002202333043
6200001242414544
714216144421226
oct2217647106500
9488520558821
10156743011648
1160524386653
1226464b01454
1311a1c566b92
14782d132b16
154125a83c4d
hex247e9c8d40

156743011648 has 84 divisors (see below), whose sum is σ = 333653332692. Its totient is φ = 73028874240.

The previous prime is 156743011643. The next prime is 156743011661. The reversal of 156743011648 is 846110347651.

It can be written as a sum of positive squares in 2 ways, for example, as 55435760704 + 101307250944 = 235448^2 + 318288^2 .

It is a junction number, because it is equal to n+sod(n) for n = 156743011598 and 156743011607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156743011643) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1353736 + ... + 1464952.

Almost surely, 2156743011648 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 156743011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166826666346).

156743011648 is an abundant number, since it is smaller than the sum of its proper divisors (176910321044).

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

156743011648 is a wasteful number, since it uses less digits than its factorization.

156743011648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111328 (or 111299 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 156743011648 in words is "one hundred fifty-six billion, seven hundred forty-three million, eleven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 152 244 304 361 488 608 722 976 1159 1216 1444 1952 2318 2888 3904 4636 5776 9272 11552 18544 22021 23104 37088 44042 74176 88084 111217 176168 222434 352336 444868 704672 889736 1409344 1779472 2113123 3558944 4226246 6784237 7117888 8452492 13568474 16904984 27136948 33809968 40149337 54273896 67619936 80298674 108547792 128900503 135239872 160597348 217095584 257801006 321194696 434191168 515602012 642389392 1031204024 1284778784 2062408048 2449109557 2569557568 4124816096 4898219114 8249632192 9796438228 19592876456 39185752912 78371505824 156743011648