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126832659090 = 235194116093373
BaseRepresentation
bin111011000011111010…
…0001100101010010010
3110010101012000122201020
41312013310030222102
54034223130042330
6134133252020310
712110013546204
oct1660764145222
9403335018636
10126832659090
1149875803015
12206b8001696
13bc6392c407
1461d2982774
153474c67210
hex1d87d0ca92

126832659090 has 128 divisors (see below), whose sum is σ = 328535827200. Its totient is φ = 31231733760.

The previous prime is 126832659077. The next prime is 126832659091. The reversal of 126832659090 is 90956238621.

It is not an unprimeable number, because it can be changed into a prime (126832659091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37600644 + ... + 37604016.

It is an arithmetic number, because the mean of its divisors is an integer number (2566686150).

Almost surely, 2126832659090 is an apocalyptic number.

126832659090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126832659090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164267913600).

126832659090 is an abundant number, since it is smaller than the sum of its proper divisors (201703168110).

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

126832659090 is a wasteful number, since it uses less digits than its factorization.

126832659090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052.

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 126832659090 in words is "one hundred twenty-six billion, eight hundred thirty-two million, six hundred fifty-nine thousand, ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 41 57 82 95 114 123 190 205 246 285 410 570 615 779 1230 1558 1609 2337 3218 3373 3895 4674 4827 6746 7790 8045 9654 10119 11685 16090 16865 20238 23370 24135 30571 33730 48270 50595 61142 64087 65969 91713 101190 128174 131938 138293 152855 183426 192261 197907 276586 305710 320435 329845 384522 395814 414879 458565 640870 659690 691465 829758 917130 961305 989535 1253411 1382930 1922610 1979070 2074395 2506822 2627567 3760233 4148790 5255134 5427157 6267055 7520466 7882701 10854314 12534110 13137835 15765402 16281471 18801165 26275670 27135785 32562942 37602330 39413505 54271570 78827010 81407355 103115983 162814710 206231966 222513437 309347949 445026874 515579915 618695898 667540311 1031159830 1112567185 1335080622 1546739745 2225134370 3093479490 3337701555 4227755303 6675403110 8455510606 12683265909 21138776515 25366531818 42277553030 63416329545 126832659090