Search a number
-
+
126764232420 = 2235716712491447
BaseRepresentation
bin111011000001110111…
…1001010111011100100
3110010012102021012222010
41312003233022323210
54034103120414140
6134122405234220
712105223124430
oct1660357127344
9403172235863
10126764232420
1149840117051
1220699102970
13bc526c1a67
1461c784d9c0
15346dc4c880
hex1d83bcaee4

126764232420 has 192 divisors, whose sum is σ = 408683520000. Its totient is φ = 28758233088.

The previous prime is 126764232403. The next prime is 126764232437. The reversal of 126764232420 is 24232467621.

It is an interprime number because it is at equal distance from previous prime (126764232403) and next prime (126764232437).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87604137 + ... + 87605583.

It is an arithmetic number, because the mean of its divisors is an integer number (2128560000).

Almost surely, 2126764232420 is an apocalyptic number.

126764232420 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 126764232420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204341760000).

126764232420 is an abundant number, since it is smaller than the sum of its proper divisors (281919287580).

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

126764232420 is a wasteful number, since it uses less digits than its factorization.

126764232420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 126764232420 in words is "one hundred twenty-six billion, seven hundred sixty-four million, two hundred thirty-two thousand, four hundred twenty".