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7812042804 = 22323752111257
BaseRepresentation
bin1110100011010001…
…00101000000110100
3202011102201220002200
413101220211000310
5111444340332204
63331103104500
7364406160666
oct72150450064
922142656080
107812042804
113349770425
1216202a2130
13976614447
1454173c536
1530ac6e539
hex1d1a25034

7812042804 has 72 divisors (see below), whose sum is σ = 20321545608. Its totient is φ = 2528547840.

The previous prime is 7812042803. The next prime is 7812042817. The reversal of 7812042804 is 4082402187.

It can be written as a sum of positive squares in 4 ways, for example, as 3269552400 + 4542490404 = 57180^2 + 67398^2 .

It is a super-2 number, since 2×78120428042 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7812042803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688344 + ... + 699600.

It is an arithmetic number, because the mean of its divisors is an integer number (282243689).

Almost surely, 27812042804 is an apocalyptic number.

7812042804 is a gapful number since it is divisible by the number (74) 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 7812042804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160772804).

7812042804 is an abundant number, since it is smaller than the sum of its proper divisors (12509502804).

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

7812042804 is a wasteful number, since it uses less digits than its factorization.

7812042804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11825 (or 11820 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 7812042804 is about 88385.7613193437. The cubic root of 7812042804 is about 1984.2126073566.

The spelling of 7812042804 in words is "seven billion, eight hundred twelve million, forty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 521 666 1042 1332 1563 2084 3126 4689 6252 9378 11257 18756 19277 22514 33771 38554 45028 57831 67542 77108 101313 115662 135084 173493 202626 231324 346986 405252 416509 693972 833018 1249527 1666036 2499054 3748581 4998108 5864897 7497162 11729794 14994324 17594691 23459588 35189382 52784073 70378764 105568146 211136292 217001189 434002378 651003567 868004756 1302007134 1953010701 2604014268 3906021402 7812042804