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126950760000 = 263354414761
BaseRepresentation
bin111011000111011011…
…0101101111001000000
3110010200102020210201000
41312032312231321000
54034443343310000
6134153111212000
712112646440551
oct1661666557100
9403612223630
10126950760000
1149926437a79
122072b677000
13bc8223cacc
146204526328
1534802e5000
hex1d8edade40

126950760000 has 1120 divisors, whose sum is σ = 495903260160. Its totient is φ = 31795200000.

The previous prime is 126950759981. The next prime is 126950760043. The reversal of 126950760000 is 67059621.

It is a super-2 number, since 2×1269507600002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2081159970 + ... + 2081160030.

It is an arithmetic number, because the mean of its divisors is an integer number (442770768).

Almost surely, 2126950760000 is an apocalyptic number.

126950760000 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 126950760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247951630080).

126950760000 is an abundant number, since it is smaller than the sum of its proper divisors (368952500160).

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

126950760000 is an equidigital number, since it uses as much as digits as its factorization.

126950760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

It can be divided in two parts, 1269 and 50760000, that multiplied together give a square (64414440000 = 2538002).

The spelling of 126950760000 in words is "one hundred twenty-six billion, nine hundred fifty million, seven hundred sixty thousand".