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245421204480 = 2103351726143
BaseRepresentation
bin1110010010010000111…
…1100110010000000000
3212110110211021221111000
43210210033212100000
513010110312020410
6304424524052000
723505523550454
oct3444417462000
9773424257430
10245421204480
119509a965421
123b693094000
131a1b258732a
14bc42674664
1565b5d63dc0
hex39243e6400

245421204480 has 528 divisors, whose sum is σ = 926656266240. Its totient is φ = 61585883136.

The previous prime is 245421204451. The next prime is 245421204491. The reversal of 245421204480 is 84402124542.

245421204480 is a `hidden beast` number, since 2 + 4 + 54 + 2 + 120 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39948289 + ... + 39954431.

Almost surely, 2245421204480 is an apocalyptic number.

245421204480 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 245421204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463328133120).

245421204480 is an abundant number, since it is smaller than the sum of its proper divisors (681235061760).

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

245421204480 is a wasteful number, since it uses less digits than its factorization.

245421204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6211 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 245421204480 in words is "two hundred forty-five billion, four hundred twenty-one million, two hundred four thousand, four hundred eighty".