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126839626432 = 26174712719531
BaseRepresentation
bin111011000100000111…
…0110001101011000000
3110010101200010122002221
41312020032301223000
54034231421021212
6134134101220424
712110130015151
oct1661016615300
9403350118087
10126839626432
1149879731752
12206ba401714
13bc651cb7bc
1461d3877928
153475691807
hex1d883b1ac0

126839626432 has 112 divisors (see below), whose sum is σ = 274330533888. Its totient is φ = 57956290560.

The previous prime is 126839626429. The next prime is 126839626439. The reversal of 126839626432 is 234626938621.

It is a self number, because there is not a number n which added to its sum of digits gives 126839626432.

It is not an unprimeable number, because it can be changed into a prime (126839626439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6484507 + ... + 6504037.

Almost surely, 2126839626432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126839626432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137165266944).

126839626432 is an abundant number, since it is smaller than the sum of its proper divisors (147490907456).

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

126839626432 is a wasteful number, since it uses less digits than its factorization.

126839626432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19734 (or 19724 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 52.

The spelling of 126839626432 in words is "one hundred twenty-six billion, eight hundred thirty-nine million, six hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 127 136 188 254 272 376 508 544 752 799 1016 1088 1504 1598 2032 2159 3008 3196 4064 4318 5969 6392 8128 8636 11938 12784 17272 19531 23876 25568 34544 39062 47752 51136 69088 78124 95504 101473 138176 156248 191008 202946 312496 332027 382016 405892 624992 664054 811784 917957 1249984 1328108 1623568 1835914 2480437 2656216 3247136 3671828 4960874 5312432 6494272 7343656 9921748 10624864 14687312 15605269 19843496 21249728 29374624 31210538 39686992 42167429 58749248 62421076 79373984 84334858 116580539 124842152 158747968 168669716 233161078 249684304 337339432 466322156 499368608 674678864 932644312 998737216 1349357728 1865288624 1981869163 2698715456 3730577248 3963738326 7461154496 7927476652 15854953304 31709906608 63419813216 126839626432