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126381601332 = 223271926395489
BaseRepresentation
bin111010110110011101…
…1100011001000110100
3110002012202021112210100
41311230323203020310
54032312142220312
6134020420154100
712062565613050
oct1655473431064
9402182245710
10126381601332
1149664134708
12205b0b38930
13bbc135212c
14618cacac60
15344a36a5dc
hex1d6cee3234

126381601332 has 72 divisors (see below), whose sum is σ = 384318334400. Its totient is φ = 34208552448.

The previous prime is 126381601303. The next prime is 126381601369. The reversal of 126381601332 is 233106183621.

126381601332 is a `hidden beast` number, since 1 + 2 + 638 + 1 + 6 + 0 + 13 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13192957 + ... + 13202532.

Almost surely, 2126381601332 is an apocalyptic number.

126381601332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126381601332 is an abundant number, since it is smaller than the sum of its proper divisors (257936733068).

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

126381601332 is a wasteful number, since it uses less digits than its factorization.

126381601332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26395525 (or 26395520 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 126381601332 its reverse (233106183621), we get a palindrome (359487784953).

The spelling of 126381601332 in words is "one hundred twenty-six billion, three hundred eighty-one million, six hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 26395489 52790978 79186467 105581956 158372934 184768423 237559401 316745868 369536846 475118802 501514291 554305269 739073692 950237604 1003028582 1108610538 1504542873 1662915807 2006057164 2217221076 3009085746 3325831614 3510600037 4513628619 6018171492 6651663228 7021200074 9027257238 10531800111 14042400148 18054514476 21063600222 31595400333 42127200444 63190800666 126381601332