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161788066564 = 221741972812129
BaseRepresentation
bin1001011010101101010…
…0011111101100000100
3120110121021210100012111
42112223110133230010
510122320221112224
6202154023430404
714455154606155
oct2265324375404
9513537710174
10161788066564
1162683167023
12274325b5404
131234483c087
147b8b1a192c
15431d939d94
hex25ab51fb04

161788066564 has 96 divisors (see below), whose sum is σ = 311511886560. Its totient is φ = 73216819200.

The previous prime is 161788066541. The next prime is 161788066567. The reversal of 161788066564 is 465660887161.

161788066564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 50358950464 + 111429116100 = 224408^2 + 333810^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 161788066499 and 161788066508.

It is not an unprimeable number, because it can be changed into a prime (161788066567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 75991452 + ... + 75993580.

It is an arithmetic number, because the mean of its divisors is an integer number (3244915485).

Almost surely, 2161788066564 is an apocalyptic number.

It is an amenable number.

161788066564 is a deficient number, since it is larger than the sum of its proper divisors (149723819996).

161788066564 is a wasteful number, since it uses less digits than its factorization.

161788066564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 161788066564 in words is "one hundred sixty-one billion, seven hundred eighty-eight million, sixty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 17 34 41 68 82 97 164 194 281 388 562 697 1124 1394 1649 2129 2788 3298 3977 4258 4777 6596 7954 8516 9554 11521 15908 19108 23042 27257 36193 46084 54514 67609 72386 87289 109028 135218 144772 174578 195857 206513 270436 349156 391714 413026 463369 598249 783428 826052 926738 1117537 1196498 1483913 1853476 2235074 2392996 2967826 3510721 4470148 5935652 7021442 8467033 10170233 14042884 16934066 18998129 20340466 24528209 33868132 37996258 40680932 49056418 58030153 75992516 98112836 116060306 143939561 232120612 287879122 416979553 575758244 833959106 986512601 1667918212 1973025202 2379236273 3946050404 4758472546 9516945092 40447016641 80894033282 161788066564