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474919082820 = 223357313593343
BaseRepresentation
bin1101110100100110110…
…00100001101101000100
31200101211221001002221000
412322103120201231010
530240113241122240
61002101432053300
746211636412000
oct6722330415504
91611757032830
10474919082820
11173459494176
1278061534230
1335a27c22890
1418db4215700
15c548cca430
hex6e93621b44

474919082820 has 768 divisors, whose sum is σ = 1887621120000. Its totient is φ = 98474890752.

The previous prime is 474919082801. The next prime is 474919082821. The reversal of 474919082820 is 28280919474.

474919082820 is a `hidden beast` number, since 47 + 491 + 90 + 8 + 2 + 8 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (474919082821) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 142062069 + ... + 142065411.

It is an arithmetic number, because the mean of its divisors is an integer number (2457840000).

Almost surely, 2474919082820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474919082820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943810560000).

474919082820 is an abundant number, since it is smaller than the sum of its proper divisors (1412702037180).

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

474919082820 is a wasteful number, since it uses less digits than its factorization.

474919082820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 474919082820 in words is "four hundred seventy-four billion, nine hundred nineteen million, eighty-two thousand, eight hundred twenty".