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126009070404 = 22375930898231
BaseRepresentation
bin111010101011010111…
…0011101001101000100
3110001020210022000102120
41311112232131031010
54031031310223104
6133515431405540
712050423266050
oct1652656351504
9401223260376
10126009070404
1149492920708
12205082238b0
13bb6210a829
146155436c60
1534277d0cd9
hex1d56b9d344

126009070404 has 96 divisors (see below), whose sum is σ = 341871667200. Its totient is φ = 35376622080.

The previous prime is 126009070381. The next prime is 126009070427. The reversal of 126009070404 is 404070900621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126009070381) and next prime (126009070427).

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, 15304969 + ... + 15313199.

It is an arithmetic number, because the mean of its divisors is an integer number (3561163200).

Almost surely, 2126009070404 is an apocalyptic number.

126009070404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126009070404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170935833600).

126009070404 is an abundant number, since it is smaller than the sum of its proper divisors (215862596796).

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

126009070404 is a wasteful number, since it uses less digits than its factorization.

126009070404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11393 (or 11391 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 126009070404 in words is "one hundred twenty-six billion, nine million, seventy thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 3089 4956 6178 8231 9267 12356 16462 18534 21623 24693 32924 37068 43246 49386 57617 64869 86492 98772 115234 129738 172851 182251 230468 259476 345702 364502 485629 546753 691404 729004 971258 1093506 1275757 1456887 1942516 2187012 2551514 2913774 3399403 3827271 5103028 5827548 6798806 7654542 10198209 13597612 15309084 20396418 25425559 40792836 50851118 76276677 101702236 152553354 177978913 305106708 355957826 533936739 711915652 1067873478 1500107981 2135746956 3000215962 4500323943 6000431924 9000647886 10500755867 18001295772 21001511734 31502267601 42003023468 63004535202 126009070404