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4828255680000 = 29354171923677
BaseRepresentation
bin100011001000010101001…
…1101101111011000000000
3122002120120102212201002110
41012100222131233120000
51113101231423230000
614134023043415320
71005554451062004
oct106205235573000
918076512781073
104828255680000
1115a1719505a15
1265b8b9084540
132903c194398c
141299901ac704
15858d9bba850
hex4642a76f600

4828255680000 has 1600 divisors, whose sum is σ = 18721045347840. Its totient is φ = 1096482816000.

The previous prime is 4828255679939. The next prime is 4828255680011. The reversal of 4828255680000 is 865528284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×48282556800002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7131839662 + ... + 7131840338.

Almost surely, 24828255680000 is an apocalyptic number.

4828255680000 is a gapful number since it is divisible by the number (40) 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 4828255680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360522673920).

4828255680000 is an abundant number, since it is smaller than the sum of its proper divisors (13892789667840).

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

4828255680000 is a wasteful number, since it uses less digits than its factorization.

4828255680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 4828255680000 in words is "four trillion, eight hundred twenty-eight billion, two hundred fifty-five million, six hundred eighty thousand".