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126427299480 = 233253761155599
BaseRepresentation
bin111010110111110100…
…1110111111010011000
3110002022221021020212100
41311233221313322120
54032410342040410
6134025131443400
712063662212566
oct1655751677230
9402287236770
10126427299480
1149687a07379
12206042b6560
13bbca962461
146194bc4a36
15344e3958c0
hex1d6fa77e98

126427299480 has 192 divisors, whose sum is σ = 428914512000. Its totient is φ = 32264801280.

The previous prime is 126427299431. The next prime is 126427299487. The reversal of 126427299480 is 84992724621.

It is a happy number.

126427299480 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 2 + 72 + 99 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126427299487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 734721 + ... + 890319.

It is an arithmetic number, because the mean of its divisors is an integer number (2233929750).

Almost surely, 2126427299480 is an apocalyptic number.

126427299480 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 126427299480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214457256000).

126427299480 is an abundant number, since it is smaller than the sum of its proper divisors (302487212520).

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

126427299480 is a wasteful number, since it uses less digits than its factorization.

126427299480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155714 (or 155707 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 126427299480 in words is "one hundred twenty-six billion, four hundred twenty-seven million, two hundred ninety-nine thousand, four hundred eighty".