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126346305330 = 2345734764217
BaseRepresentation
bin111010110101011010…
…0111001111100110010
3110002010021212022210000
41311222310321330302
54032224123232310
6134013115450430
712061656606210
oct1655264717462
9402107768700
10126346305330
1149646217263
12205a1156a16
13bbb6c4471b
14618813dcb0
1534471e74c0
hex1d6ad39f32

126346305330 has 160 divisors (see below), whose sum is σ = 389389182336. Its totient is φ = 28795481856.

The previous prime is 126346305313. The next prime is 126346305347. The reversal of 126346305330 is 33503643621.

126346305330 is a `hidden beast` number, since 1 + 2 + 6 + 346 + 305 + 3 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126346305313) and next prime (126346305347).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1935382 + ... + 1999598.

Almost surely, 2126346305330 is an apocalyptic number.

126346305330 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 126346305330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194694591168).

126346305330 is an abundant number, since it is smaller than the sum of its proper divisors (263042877006).

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

126346305330 is a wasteful number, since it uses less digits than its factorization.

126346305330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64590 (or 64581 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 126346305330 its reverse (33503643621), we get a palindrome (159849948951).

The spelling of 126346305330 in words is "one hundred twenty-six billion, three hundred forty-six million, three hundred five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 347 378 405 567 630 694 810 945 1041 1134 1735 1890 2082 2429 2835 3123 3470 4858 5205 5670 6246 7287 9369 10410 12145 14574 15615 18738 21861 24290 28107 31230 36435 43722 46845 56214 64217 65583 72870 93690 109305 128434 131166 140535 192651 196749 218610 281070 321085 327915 385302 393498 449519 577953 642170 655830 899038 963255 983745 1155906 1348557 1733859 1926510 1967490 2247595 2697114 2889765 3467718 4045671 4495190 5201577 5779530 6742785 8091342 8669295 10403154 12137013 13485570 17338590 20228355 22283299 24274026 26007885 36411039 40456710 44566598 52015770 60685065 66849897 72822078 111416495 121370130 133699794 155983093 182055195 200549691 222832990 311966186 334249485 364110390 401099382 467949279 601649073 668498970 779915465 935898558 1002748455 1203298146 1403847837 1559830930 1804947219 2005496910 2339746395 2807695674 3008245365 3609894438 4211543511 4679492790 6016490730 7019239185 8423087022 9024736095 12634630533 14038478370 18049472190 21057717555 25269261066 42115435110 63173152665 126346305330