Search a number
-
+
2326429455840 = 2533572171394651
BaseRepresentation
bin100001110110101010000…
…000000101010111100000
322020101220212110100022000
4201312222000011113200
5301104011420041330
64540425201044000
7330036043045500
oct41665200052740
98211825410260
102326429455840
118176a6861476
12316a64626600
1313b4c5abc339
1480857b57a00
15407b0ac1560
hex21daa0055e0

2326429455840 has 1152 divisors, whose sum is σ = 10103384793600. Its totient is φ = 496768204800.

The previous prime is 2326429455839. The next prime is 2326429455853. The reversal of 2326429455840 is 485549246232.

2326429455840 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 42 + 9 + 4 + 558 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 500197515 + ... + 500202165.

It is an arithmetic number, because the mean of its divisors is an integer number (8770299300).

Almost surely, 22326429455840 is an apocalyptic number.

2326429455840 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 2326429455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051692396800).

2326429455840 is an abundant number, since it is smaller than the sum of its proper divisors (7776955337760).

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

2326429455840 is a wasteful number, since it uses less digits than its factorization.

2326429455840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 2326429455840 in words is "two trillion, three hundred twenty-six billion, four hundred twenty-nine million, four hundred fifty-five thousand, eight hundred forty".