Search a number
-
+
126929179890 = 23251772979549
BaseRepresentation
bin111011000110110010…
…0011001010011110010
3110010121220122102100200
41312031210121103302
54034422332224030
6134151020500030
712112265141022
oct1661544312362
9403556572320
10126929179890
1149915238577
12207243aa616
13bc7a925406
146201709a82
15347d480d60
hex1d8d9194f2

126929179890 has 48 divisors (see below), whose sum is σ = 330038631000. Its totient is φ = 33845446656.

The previous prime is 126929179889. The next prime is 126929179919. The reversal of 126929179890 is 98971929621.

126929179890 is a `hidden beast` number, since 1 + 269 + 291 + 7 + 9 + 89 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126929025441 + 154449 = 356271^2 + 393^2 .

It is a super-2 number, since 2×1269291798902 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1555836 + ... + 1635384.

Almost surely, 2126929179890 is an apocalyptic number.

126929179890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126929179890 is an abundant number, since it is smaller than the sum of its proper divisors (203109451110).

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

126929179890 is a wasteful number, since it uses less digits than its factorization.

126929179890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97291 (or 97288 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 126929179890 in words is "one hundred twenty-six billion, nine hundred twenty-nine million, one hundred seventy-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 17729 35458 53187 79549 88645 106374 159098 159561 177290 238647 265935 319122 397745 477294 531870 715941 795490 797805 1193235 1431882 1595610 2386470 3579705 7159410 1410324221 2820648442 4230972663 7051621105 8461945326 12692917989 14103242210 21154863315 25385835978 42309726630 63464589945 126929179890