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126140426496 = 283471723197
BaseRepresentation
bin111010101111010001…
…1100010100100000000
3110001120221110121010000
41311132203202210000
54031313422121441
6133540443040000
712053606635320
oct1653643424400
9401527417100
10126140426496
114954aa89467
1220544210000
13bb833ac626
146168a6b280
1534340cb2b6
hex1d5e8e2900

126140426496 has 1080 divisors, whose sum is σ = 476223351296. Its totient is φ = 32487505920.

The previous prime is 126140426483. The next prime is 126140426501. The reversal of 126140426496 is 694624041621.

126140426496 is a `hidden beast` number, since 1 + 2 + 614 + 0 + 4 + 26 + 4 + 9 + 6 = 666.

It is a super-2 number, since 2×1261404264962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1300416720 + ... + 1300416816.

Almost surely, 2126140426496 is an apocalyptic number.

126140426496 is a gapful number since it is divisible by the number (16) 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 126140426496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238111675648).

126140426496 is an abundant number, since it is smaller than the sum of its proper divisors (350082924800).

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

126140426496 is an equidigital number, since it uses as much as digits as its factorization.

126140426496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 126140426496 in words is "one hundred twenty-six billion, one hundred forty million, four hundred twenty-six thousand, four hundred ninety-six".