Search a number
-
+
157057831424 = 2913109216481
BaseRepresentation
bin1001001001000101100…
…0000101001000000000
3120000101122000111110102
42102101120011020000
510033123301101144
6200052410221532
714230016353154
oct2222130051000
9500348014412
10157057831424
116067606238a
12265324248a8
1311a6c853280
14785cc83064
15414351db4e
hex2491605200

157057831424 has 80 divisors (see below), whose sum is σ = 341050072440. Its totient is φ = 71822868480.

The previous prime is 157057831409. The next prime is 157057831453. The reversal of 157057831424 is 424138750751.

It can be written as a sum of positive squares in 4 ways, for example, as 154480441600 + 2577389824 = 393040^2 + 50768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 617264 + ... + 833744.

Almost surely, 2157057831424 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 157057831424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170525036220).

157057831424 is an abundant number, since it is smaller than the sum of its proper divisors (183992241016).

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

157057831424 is a wasteful number, since it uses less digits than its factorization.

157057831424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216621 (or 216605 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 47.

The spelling of 157057831424 in words is "one hundred fifty-seven billion, fifty-seven million, eight hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 109 128 208 218 256 416 436 512 832 872 1417 1664 1744 2834 3328 3488 5668 6656 6976 11336 13952 22672 27904 45344 55808 90688 181376 216481 362752 432962 725504 865924 1731848 2814253 3463696 5628506 6927392 11257012 13854784 22514024 23596429 27709568 45028048 47192858 55419136 90056096 94385716 110838272 180112192 188771432 306753577 360224384 377542864 613507154 720448768 755085728 1227014308 1440897536 1510171456 2454028616 3020342912 4908057232 6040685824 9816114464 12081371648 19632228928 39264457856 78528915712 157057831424