Search a number
-
+
158132257938 = 23415721992
BaseRepresentation
bin1001001101000101101…
…0101100010010010010
3120010011111202000120000
42103101122230102102
510042323324223223
6200351151030430
714265444005034
oct2232132542222
9503144660500
10158132257938
116107759a986
122679220b416
1311bb131b9c5
147921845c54
1541a7a02543
hex24d16ac492

158132257938 has 90 divisors (see below), whose sum is σ = 358405656741. Its totient is φ = 52111824336.

The previous prime is 158132257919. The next prime is 158132257967. The reversal of 158132257938 is 839752231851.

158132257938 is a `hidden beast` number, since 1 + 5 + 8 + 1 + 32 + 2 + 579 + 38 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 151046490609 + 7085767329 = 388647^2 + 84177^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=281187.

It is a super-2 number, since 2×1581322579382 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 794634363 + ... + 794634561.

Almost surely, 2158132257938 is an apocalyptic number.

158132257938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 158132257938

158132257938 is an abundant number, since it is smaller than the sum of its proper divisors (200273398803).

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

158132257938 is an frugal number, since it uses more digits than its factorization.

158132257938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 361 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 158132257938 in words is "one hundred fifty-eight billion, one hundred thirty-two million, two hundred fifty-seven thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 157 162 199 314 398 471 597 942 1194 1413 1791 2826 3582 4239 5373 8478 10746 12717 16119 24649 25434 31243 32238 39601 49298 62486 73947 79202 93729 118803 147894 187458 221841 237606 281187 356409 443682 562374 665523 712818 843561 1069227 1331046 1687122 1996569 2138454 2530683 3207681 3993138 4905151 5061366 6217357 6415362 9810302 12434714 14715453 18652071 29430906 37304142 44146359 55956213 88292718 111912426 132439077 167868639 264878154 335737278 397317231 503605917 794634462 976125049 1007211834 1952250098 2928375147 5856750294 8785125441 17570250882 26355376323 52710752646 79066128969 158132257938