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126668074032 = 24321078220929
BaseRepresentation
bin111010111111000000…
…0010110110000110000
3110002221201022212110100
41311332000112300300
54033404011332112
6134105052232400
712102644602323
oct1657600266060
9402851285410
10126668074032
11497a0909905
1220670a6b700
13bc387c49c6
1461b8b7c7ba
1534655a62dc
hex1d7e016c30

126668074032 has 60 divisors (see below), whose sum is σ = 357807757320. Its totient is φ = 41828081664.

The previous prime is 126668074019. The next prime is 126668074103. The reversal of 126668074032 is 230470866621.

126668074032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4095057 + ... + 4125872.

It is an arithmetic number, because the mean of its divisors is an integer number (5963462622).

Almost surely, 2126668074032 is an apocalyptic number.

126668074032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126668074032 is an abundant number, since it is smaller than the sum of its proper divisors (231139683288).

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

126668074032 is a wasteful number, since it uses less digits than its factorization.

126668074032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221050 (or 8221041 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 126668074032 in words is "one hundred twenty-six billion, six hundred sixty-eight million, seventy-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 15408 8220929 16441858 24662787 32883716 49325574 65767432 73988361 98651148 131534864 147976722 197302296 295953444 394604592 591906888 879639403 1183813776 1759278806 2638918209 3518557612 5277836418 7037115224 7916754627 10555672836 14074230448 15833509254 21111345672 31667018508 42222691344 63334037016 126668074032