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126680585720 = 235131714330383
BaseRepresentation
bin111010111111011000…
…0000101010111111000
3110002222120212112021012
41311332300011113320
54033420212220340
6134110220333052
712103156132463
oct1657660052770
9402876775235
10126680585720
11497a7985047
12206750a4188
13bc3b285880
1461ba6b82da
153466728565
hex1d7ec055f8

126680585720 has 64 divisors (see below), whose sum is σ = 325013109120. Its totient is φ = 44022933504.

The previous prime is 126680585683. The next prime is 126680585723. The reversal of 126680585720 is 27585086621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126680585723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7156352 + ... + 7174031.

It is an arithmetic number, because the mean of its divisors is an integer number (5078329830).

Almost surely, 2126680585720 is an apocalyptic number.

126680585720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126680585720 is an abundant number, since it is smaller than the sum of its proper divisors (198332523400).

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

126680585720 is a wasteful number, since it uses less digits than its factorization.

126680585720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14330424 (or 14330420 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

The spelling of 126680585720 in words is "one hundred twenty-six billion, six hundred eighty million, five hundred eighty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 14330383 28660766 57321532 71651915 114643064 143303830 186294979 243616511 286607660 372589958 487233022 573215320 745179916 931474895 974466044 1218082555 1490359832 1862949790 1948932088 2436165110 3167014643 3725899580 4872330220 6334029286 7451799160 9744660440 12668058572 15835073215 25336117144 31670146430 63340292860 126680585720