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12157172388 = 223561379541
BaseRepresentation
bin10110101001001111…
…11011101010100100
31011101020212100100000
423110213323222210
5144344214004023
65330202221300
7610160155164
oct132447735244
934336770300
1012157172388
115179452609
1224334b4830
1311b98a523a
148348525a4
154b246a243
hex2d49fbaa4

12157172388 has 144 divisors (see below), whose sum is σ = 32536736960. Its totient is φ = 3968092800.

The previous prime is 12157172369. The next prime is 12157172407. The reversal of 12157172388 is 88327175121.

12157172388 is a `hidden beast` number, since 1 + 2 + 1 + 571 + 72 + 3 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12157172369) and next prime (12157172407).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22471398 + ... + 22471938.

Almost surely, 212157172388 is an apocalyptic number.

12157172388 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 12157172388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16268368480).

12157172388 is an abundant number, since it is smaller than the sum of its proper divisors (20379564572).

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

12157172388 is a wasteful number, since it uses less digits than its factorization.

12157172388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 986 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The spelling of 12157172388 in words is "twelve billion, one hundred fifty-seven million, one hundred seventy-two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 379 486 541 549 732 758 972 1082 1098 1137 1516 1623 1647 2164 2196 2274 3246 3294 3411 4548 4869 4941 6492 6588 6822 9738 9882 10233 13644 14607 14823 19476 19764 20466 23119 29214 29646 30699 33001 40932 43821 46238 58428 59292 61398 66002 69357 87642 92097 92476 99003 122796 131463 132004 138714 175284 184194 198006 205039 208071 262926 277428 297009 368388 396012 410078 416142 525852 594018 615117 624213 820156 832284 891027 1188036 1230234 1248426 1782054 1845351 1872639 2460468 2496852 2673081 3564108 3690702 3745278 5346162 5536053 5617917 7381404 7490556 8019243 10692324 11072106 11235834 12507379 16038486 16608159 22144212 22471668 25014758 32076972 33216318 37522137 49824477 50029516 66432636 75044274 99648954 112566411 150088548 199297908 225132822 337699233 450265644 675398466 1013097699 1350796932 2026195398 3039293097 4052390796 6078586194 12157172388