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1828198680 = 2335711217987
BaseRepresentation
bin110110011111000…
…0001100100011000
311201102002010010020
41230332001210120
512221004324210
6501224350440
763206301210
oct15476014430
94642063106
101828198680
11858a74800
12430315420
132319b4189
14134b37240
15aa778770
hex6cf81918

1828198680 has 192 divisors, whose sum is σ = 6890123520. Its totient is φ = 379864320.

The previous prime is 1828198663. The next prime is 1828198693. The reversal of 1828198680 is 868918281.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 92647 + ... + 110633.

It is an arithmetic number, because the mean of its divisors is an integer number (35886060).

Almost surely, 21828198680 is an apocalyptic number.

1828198680 is a gapful number since it is divisible by the number (10) 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 1828198680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445061760).

1828198680 is an abundant number, since it is smaller than the sum of its proper divisors (5061924840).

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

1828198680 is a wasteful number, since it uses less digits than its factorization.

1828198680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18030 (or 18015 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 51.

The square root of 1828198680 is about 42757.4400543344. The cubic root of 1828198680 is about 1222.7597383881.

The spelling of 1828198680 in words is "one billion, eight hundred twenty-eight million, one hundred ninety-eight thousand, six hundred eighty".