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1930684124304 = 243213337316361
BaseRepresentation
bin11100000110000101101…
…111011100110010010000
320211120102200210112012200
4130012011233130302100
5223113020113434204
64034535525123200
7256326103165635
oct34060557346220
96746380715180
101930684124304
11684886945501
1227221a259500
131100a7a8b000
1469634a7c18c
153534c9a5539
hex1c185bdcc90

1930684124304 has 240 divisors, whose sum is σ = 5869349806320. Its totient is φ = 592427796480.

The previous prime is 1930684124297. The next prime is 1930684124321. The reversal of 1930684124304 is 4034214860391.

1930684124304 is a `hidden beast` number, since 19 + 306 + 8 + 4 + 1 + 24 + 304 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1397124000000 + 533560124304 = 1182000^2 + 730452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1930684124304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117997084 + ... + 118013444.

It is an arithmetic number, because the mean of its divisors is an integer number (24455624193).

Almost surely, 21930684124304 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 1930684124304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934674903160).

1930684124304 is an abundant number, since it is smaller than the sum of its proper divisors (3938665682016).

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

1930684124304 is a wasteful number, since it uses less digits than its factorization.

1930684124304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16787 (or 16752 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 1930684124304 its reverse (4034214860391), we get a palindrome (5964898984695).

The spelling of 1930684124304 in words is "one trillion, nine hundred thirty billion, six hundred eighty-four million, one hundred twenty-four thousand, three hundred four".