Search a number
-
+
157771270008 = 2332111049189901
BaseRepresentation
bin1001001011101111100…
…1101000011101111000
3120002020100110221012200
42102323321220131320
510041103421120013
6200251253510200
714253501445062
oct2227371503570
9502210427180
10157771270008
1160a01850350
12266b1342360
1311b545b9391
1478c9918732
154185e97e73
hex24bbe68778

157771270008 has 96 divisors (see below), whose sum is σ = 466589214000. Its totient is φ = 47763648000.

The previous prime is 157771270003. The next prime is 157771270021. The reversal of 157771270008 is 800072177751.

It is a happy number.

157771270008 is a `hidden beast` number, since 1 + 577 + 7 + 1 + 2 + 70 + 0 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157771270003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735858 + ... + 925758.

Almost surely, 2157771270008 is an apocalyptic number.

157771270008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157771270008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233294607000).

157771270008 is an abundant number, since it is smaller than the sum of its proper divisors (308817943992).

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

157771270008 is a wasteful number, since it uses less digits than its factorization.

157771270008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190973 (or 190966 counting only the distinct ones).

The product of its (nonzero) digits is 192080, while the sum is 45.

The spelling of 157771270008 in words is "one hundred fifty-seven billion, seven hundred seventy-one million, two hundred seventy thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1049 2098 3147 4196 6294 8392 9441 11539 12588 18882 23078 25176 34617 37764 46156 69234 75528 92312 103851 138468 189901 207702 276936 379802 415404 569703 759604 830808 1139406 1519208 1709109 2088911 2278812 3418218 4177822 4557624 6266733 6836436 8355644 12533466 13672872 16711288 18800199 25066932 37600398 50133864 75200796 150401592 199206149 398412298 597618447 796824596 1195236894 1593649192 1792855341 2191267639 2390473788 3585710682 4382535278 4780947576 6573802917 7171421364 8765070556 13147605834 14342842728 17530141112 19721408751 26295211668 39442817502 52590423336 78885635004 157771270008