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126163671697413 = 327171994091447333
BaseRepresentation
bin11100101011111011000100…
…110101011100100000000101
3121112201010111012111021210200
4130223323010311130200011
5113014031144423304123
61124154442440241113
735401011253156620
oct3453730465344005
9545633435437720
10126163671697413
1137221792658399
1212197446470199
13555224c61a7ac
1423224d6266db7
15e8bc175a1143
hex72bec4d5c805

126163671697413 has 96 divisors (see below), whose sum is σ = 222171558336000. Its totient is φ = 67346650533888.

The previous prime is 126163671697391. The next prime is 126163671697433. The reversal of 126163671697413 is 314796176361621.

It is a happy number.

126163671697413 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 63 + 6 + 71 + 6 + 97 + 413 = 666.

It is not a de Polignac number, because 126163671697413 - 217 = 126163671566341 is a prime.

It is a super-2 number, since 2×1261636716974132 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126163671697433) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 86446095 + ... + 87893427.

It is an arithmetic number, because the mean of its divisors is an integer number (2314287066000).

Almost surely, 2126163671697413 is an apocalyptic number.

It is an amenable number.

126163671697413 is a deficient number, since it is larger than the sum of its proper divisors (96007886638587).

126163671697413 is a wasteful number, since it uses less digits than its factorization.

126163671697413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447971 (or 1447968 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 126163671697413 in words is "one hundred twenty-six trillion, one hundred sixty-three billion, six hundred seventy-one million, six hundred ninety-seven thousand, four hundred thirteen".

Divisors: 1 3 7 9 17 21 51 63 119 153 199 357 409 597 1071 1227 1393 1791 2863 3383 3681 4179 6953 8589 10149 12537 20859 23681 25767 30447 48671 62577 71043 81391 146013 213129 244173 438039 569737 732519 1383647 1447333 1709211 4150941 4341999 5127633 9685529 10131331 12452823 13025997 24604661 29056587 30393993 73813983 87169761 91181979 172232627 221441949 288019267 516697881 591959197 864057801 1550093643 1775877591 2016134869 2592173403 4143714379 4896327539 5327632773 6048404607 10063306349 12431143137 14688982617 18145213821 30189919047 34274292773 37293429411 44066947851 70443144443 90569757141 102822878319 117799880203 211329433329 308468634957 353399640609 633988299987 824599161421 1060198921827 2002597963451 2473797484263 6007793890353 7421392452789 14018185744157 18023381671059 42054557232471 126163671697413