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126046154240 = 295199247421
BaseRepresentation
bin111010101100011101…
…1111010111000000000
3110001100101002001212222
41311120323322320000
54031120303413430
6133523234310212
712051353430146
oct1653073727000
9401311061788
10126046154240
114950184a306
1220518728368
13bb699c2c26
14615a32b596
15342aba89e5
hex1d58efae00

126046154240 has 80 divisors (see below), whose sum is σ = 303735247200. Its totient is φ = 50164899840.

The previous prime is 126046154209. The next prime is 126046154249. The reversal of 126046154240 is 42451640621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 126046154240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126046154249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385730 + ... + 633150.

It is an arithmetic number, because the mean of its divisors is an integer number (3796690590).

Almost surely, 2126046154240 is an apocalyptic number.

126046154240 is a gapful number since it is divisible by the number (10) 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 126046154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151867623600).

126046154240 is an abundant number, since it is smaller than the sum of its proper divisors (177689092960).

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

126046154240 is an equidigital number, since it uses as much as digits as its factorization.

126046154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247643 (or 247627 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 126046154240 its reverse (42451640621), we get a palindrome (168497794861).

The spelling of 126046154240 in words is "one hundred twenty-six billion, forty-six million, one hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 199 256 320 398 512 640 796 995 1280 1592 1990 2560 3184 3980 6368 7960 12736 15920 25472 31840 50944 63680 101888 127360 247421 254720 494842 509440 989684 1237105 1979368 2474210 3958736 4948420 7917472 9896840 15834944 19793680 31669888 39587360 49236779 63339776 79174720 98473558 126679552 158349440 196947116 246183895 316698880 393894232 492367790 633397760 787788464 984735580 1575576928 1969471160 3151153856 3938942320 6302307712 7877884640 12604615424 15755769280 25209230848 31511538560 63023077120 126046154240