Search a number
-
+
245432126460 = 2235192310099277
BaseRepresentation
bin1110010010010011100…
…1010000101111111100
3212110111120211211121210
43210210321100233330
513010121111021320
6304425554124420
723506015440123
oct3444471205774
9773446754553
10245432126460
11950a6045254
123b696880710
131a1b490c741
14bc43cb8aba
1565b6cc00e0
hex3924e50bfc

245432126460 has 192 divisors, whose sum is σ = 755659699200. Its totient is φ = 59242917888.

The previous prime is 245432126449. The next prime is 245432126461. The reversal of 245432126460 is 64621234542.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245432126461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26451342 + ... + 26460618.

It is an arithmetic number, because the mean of its divisors is an integer number (3935727600).

Almost surely, 2245432126460 is an apocalyptic number.

245432126460 is a gapful number since it is divisible by the number (20) 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 245432126460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377829849600).

245432126460 is an abundant number, since it is smaller than the sum of its proper divisors (510227572740).

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

245432126460 is a wasteful number, since it uses less digits than its factorization.

245432126460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10340 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 245432126460 in words is "two hundred forty-five billion, four hundred thirty-two million, one hundred twenty-six thousand, four hundred sixty".