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126838406640 = 243511291656719
BaseRepresentation
bin111011000100000101…
…0000111110111110000
3110010101120211122212110
41312020022013313300
54034231113003030
6134134015125320
712110113445001
oct1661012076760
9403346748773
10126838406640
1149878a79260
12206b9b13840
13bc64b9252a
1461d363b1a8
1534755001b0
hex1d88287df0

126838406640 has 160 divisors (see below), whose sum is σ = 443735884800. Its totient is φ = 29688386560.

The previous prime is 126838406573. The next prime is 126838406657. The reversal of 126838406640 is 46604838621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 126838406640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751800 + ... + 904919.

It is an arithmetic number, because the mean of its divisors is an integer number (2773349280).

Almost surely, 2126838406640 is an apocalyptic number.

126838406640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126838406640 is an abundant number, since it is smaller than the sum of its proper divisors (316897478160).

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

126838406640 is a wasteful number, since it uses less digits than its factorization.

126838406640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656775 (or 1656769 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 126838406640 in words is "one hundred twenty-six billion, eight hundred thirty-eight million, four hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1914 2320 2552 2640 3190 3480 3828 4785 5104 6380 6960 7656 9570 12760 15312 19140 25520 38280 76560 1656719 3313438 4970157 6626876 8283595 9940314 13253752 16567190 18223909 19880628 24850785 26507504 33134380 36447818 39761256 48044851 49701570 54671727 66268760 72895636 79522512 91119545 96089702 99403140 109343454 132537520 144134553 145791272 182239090 192179404 198806280 218686908 240224255 273358635 288269106 291582544 364478180 384358808 397612560 437373816 480448510 528493361 546717270 576538212 720672765 728956360 768717616 874747632 960897020 1056986722 1093434540 1153076424 1441345530 1457912720 1585480083 1921794040 2113973444 2186869080 2306152848 2642466805 2882691060 3170960166 3843588080 4227946888 4373738160 5284933610 5765382120 6341920332 7927400415 8455893776 10569867220 11530764240 12683840664 15854800830 21139734440 25367681328 31709601660 42279468880 63419203320 126838406640