Search a number
-
+
2742032353584 = 2431011588935597
BaseRepresentation
bin100111111001101101110…
…111010100100100110000
3100201010122221122001012110
4213321231313110210300
5324411140240303314
65455401113325320
7402051055304346
oct47715567244460
910633587561173
102742032353584
11967986862887
12383511106840
1316b759b48244
1496a0223d996
154b4d71c0a59
hex27e6ddd4930

2742032353584 has 80 divisors (see below), whose sum is σ = 7154369278560. Its totient is φ = 904878796800.

The previous prime is 2742032353559. The next prime is 2742032353597. The reversal of 2742032353584 is 4853532302472.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77012074 + ... + 77047670.

It is an arithmetic number, because the mean of its divisors is an integer number (89429615982).

Almost surely, 22742032353584 is an apocalyptic number.

2742032353584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2742032353584 is an abundant number, since it is smaller than the sum of its proper divisors (4412336924976).

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

2742032353584 is a wasteful number, since it uses less digits than its factorization.

2742032353584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51598 (or 51592 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 2742032353584 in words is "two trillion, seven hundred forty-two billion, thirty-two million, three hundred fifty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 15889 31778 35597 47667 63556 71194 95334 106791 127112 142388 190668 213582 254224 284776 381336 427164 569552 762672 854328 1604789 1708656 3209578 3595297 4814367 6419156 7190594 9628734 10785891 12838312 14381188 19257468 21571782 25676624 28762376 38514936 43143564 57524752 77029872 86287128 172574256 565600733 1131201466 1696802199 2262402932 3393604398 4524805864 6787208796 9049611728 13574417592 27148835184 57125674033 114251348066 171377022099 228502696132 342754044198 457005392264 685508088396 914010784528 1371016176792 2742032353584