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126487082996792 = 237191721241728579
BaseRepresentation
bin11100110000101000010001…
…101001101001010000111000
3121120212001021021220112210222
4130300220101221221100320
5113034331021221344132
61125003210322555212
735433250554644360
oct3460502151512070
9546761237815728
10126487082996792
11373369639273a1
121222a064208b08
1355768b07a4c6b
14233401675d9a0
15e95345216412
hex730a11a69438

126487082996792 has 128 divisors (see below), whose sum is σ = 285603095232000. Its totient is φ = 51302786641920.

The previous prime is 126487082996783. The next prime is 126487082996797. The reversal of 126487082996792 is 297699280784621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126487082996797) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4425860759 + ... + 4425889337.

It is an arithmetic number, because the mean of its divisors is an integer number (2231274181500).

Almost surely, 2126487082996792 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 126487082996792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142801547616000).

126487082996792 is an abundant number, since it is smaller than the sum of its proper divisors (159116012235208).

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

126487082996792 is a wasteful number, since it uses less digits than its factorization.

126487082996792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32749 (or 32745 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 80.

The spelling of 126487082996792 in words is "one hundred twenty-six trillion, four hundred eighty-seven billion, eighty-two million, nine hundred ninety-six thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1721 2417 3442 4834 6884 9668 12047 13768 16919 19336 24094 28579 32699 33838 45923 48188 57158 65398 67676 91846 96376 114316 130796 135352 183692 200053 228632 228893 261592 321461 367384 400106 457786 543001 642922 800212 915572 1086002 1285844 1600424 1831144 2172004 2571688 3801007 4159657 4344008 7602014 8319314 15204028 16638628 29117599 30408056 33277256 49184459 58235198 69075443 79033483 98368918 116470396 138150886 158066966 196737836 232940792 276301772 316133932 344291213 393475672 483528101 552603544 553234381 632267864 688582426 934504721 967056202 1106468762 1312433417 1377164852 1869009442 1934112404 2212937524 2624866834 2754329704 3738018884 3868224808 4425875048 5249733668 6541533047 7476037768 9187033919 10499467336 13083066094 18374067838 26166132188 36748135676 52332264376 73496271352 118878837403 237757674806 475515349612 832151861821 951030699224 1664303723642 2258697910657 3328607447284 4517395821314 6657214894568 9034791642628 15810885374599 18069583285256 31621770749198 63243541498396 126487082996792