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161742317584 = 2429234672
BaseRepresentation
bin1001011010100010010…
…1111110100000010000
3120110111002201001101211
42112220211332200100
510122222013130314
6202145311105504
714454061005211
oct2265045764020
9513432631354
10161742317584
116265a35a151
122741b212294
1312338211883
147b85093408
1543198ee9c4
hex25a897e810

161742317584 has 45 divisors (see below), whose sum is σ = 324648062557. Its totient is φ = 78059976512.

The previous prime is 161742317563. The next prime is 161742317603. The reversal of 161742317584 is 485713247161.

The square root of 161742317584 is 402172.

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

It can be written as a sum of positive squares in only one way, i.e., 84813747984 + 76928569600 = 291228^2 + 277360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46650219 + ... + 46653685.

Almost surely, 2161742317584 is an apocalyptic number.

161742317584 is the 402172-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161742317584

161742317584 is an abundant number, since it is smaller than the sum of its proper divisors (162905744973).

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

161742317584 is an frugal number, since it uses more digits than its factorization.

161742317584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000 (or 3498 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 49.

Multiplying 161742317584 by its sum of digits (49), we get a square (7925373561616 = 28152042).

The spelling of 161742317584 in words is "one hundred sixty-one billion, seven hundred forty-two million, three hundred seventeen thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 3467 6728 6934 13456 13868 27736 55472 100543 201086 402172 804344 1608688 2915747 5831494 11662988 12020089 23325976 24040178 46651952 48080356 96160712 192321424 348582581 697165162 1394330324 2788660648 5577321296 10108894849 20217789698 40435579396 80871158792 161742317584