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126845046443808 = 2533711172329181929
BaseRepresentation
bin11100110101110101101001…
…111011110100111100100000
3121122010021020101021202211000
4130311311221323310330200
5113111212123342200213
61125435450533552000
735501152333022340
oct3465655173647440
9548107211252730
10126845046443808
1137464755968310
12122875054a5600
1355a158a158ac4
142347493aa2d20
15e9e7e6444c73
hex735d69ef4f20

126845046443808 has 3072 divisors, whose sum is σ = 530678034432000. Its totient is φ = 28448863027200.

The previous prime is 126845046443807. The next prime is 126845046443809. The reversal of 126845046443808 is 808344640548621.

It is a happy number.

126845046443808 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 4 + 50 + 464 + 43 + 80 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (126845046443807) and next prime (126845046443809).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (126845046443807) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 136539339088 + ... + 136539340016.

It is an arithmetic number, because the mean of its divisors is an integer number (172746756000).

Almost surely, 2126845046443808 is an apocalyptic number.

126845046443808 is a gapful number since it is divisible by the number (18) 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 126845046443808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265339017216000).

126845046443808 is an abundant number, since it is smaller than the sum of its proper divisors (403832987988192).

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

126845046443808 is a wasteful number, since it uses less digits than its factorization.

126845046443808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 126845046443808 in words is "one hundred twenty-six trillion, eight hundred forty-five billion, forty-six million, four hundred forty-three thousand, eight hundred eight".