Search a number
-
+
126862902432 = 2534761831381
BaseRepresentation
bin111011000100110011…
…1100100010010100000
3110010110021221011210000
41312021213210102200
54034303400334212
6134140252140000
712110531610210
oct1661147442240
9403407834700
10126862902432
114989088a312
1220706167600
13bc69c8b096
1461d69b6240
15347773d1dc
hex1d899e44a0

126862902432 has 480 divisors, whose sum is σ = 438929656704. Its totient is φ = 35197286400.

The previous prime is 126862902431. The next prime is 126862902443. The reversal of 126862902432 is 234209268621.

126862902432 is a `hidden beast` number, since 1 + 268 + 62 + 90 + 243 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (126862902431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91862382 + ... + 91863762.

Almost surely, 2126862902432 is an apocalyptic number.

126862902432 is a gapful number since it is divisible by the number (12) 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 126862902432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219464828352).

126862902432 is an abundant number, since it is smaller than the sum of its proper divisors (312066754272).

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

126862902432 is a wasteful number, since it uses less digits than its factorization.

126862902432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1537 counting only the distinct ones).

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

The spelling of 126862902432 in words is "one hundred twenty-six billion, eight hundred sixty-two million, nine hundred two thousand, four hundred thirty-two".