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126459676980 = 223457131078017
BaseRepresentation
bin111010111000110010…
…1011000100100110100
3110002102012012012110000
41311301211120210310
54032442134130410
6134032245431300
712064534342620
oct1656145304464
9402365165400
10126459676980
11496a421103a
122061310b530
13bc0458a640
146199212180
15345213ddc0
hex1d71958934

126459676980 has 480 divisors, whose sum is σ = 492881469696. Its totient is φ = 26428944384.

The previous prime is 126459676961. The next prime is 126459677041. The reversal of 126459676980 is 89676954621.

126459676980 is a `hidden beast` number, since 1 + 26 + 459 + 6 + 76 + 98 + 0 = 666.

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

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, 15769932 + ... + 15777948.

Almost surely, 2126459676980 is an apocalyptic number.

126459676980 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 126459676980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246440734848).

126459676980 is an abundant number, since it is smaller than the sum of its proper divisors (366421792716).

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

126459676980 is a wasteful number, since it uses less digits than its factorization.

126459676980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8165 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

It can be divided in two parts, 126459676 and 980, that added together give a triangular number (126460656 = T15903).

The spelling of 126459676980 in words is "one hundred twenty-six billion, four hundred fifty-nine million, six hundred seventy-six thousand, nine hundred eighty".