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28181919190900 = 2252397921708229
BaseRepresentation
bin1100110100001100111010…
…10010000100111101110100
310200210011110101220022202011
412122012131102010331310
512143213032303102100
6135534332301454004
75636035141450036
oct632063522047564
9120704411808664
1028181919190900
118a85980755a32
1231b1a17871304
13129570b312047
146d6025557c56
1533d122c53bba
hex19a19d484f74

28181919190900 has 36 divisors (see below), whose sum is σ = 61155004679020. Its totient is φ = 11272723430400.

The previous prime is 28181919190811. The next prime is 28181919190907. The reversal of 28181919190900 is 909191918182.

It can be written as a sum of positive squares in 6 ways, for example, as 64331220496 + 28117587970404 = 253636^2 + 5302602^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28181919190907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39437986 + ... + 40146214.

Almost surely, 228181919190900 is an apocalyptic number.

28181919190900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28181919190900 is an abundant number, since it is smaller than the sum of its proper divisors (32973085488120).

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

28181919190900 is a wasteful number, since it uses less digits than its factorization.

28181919190900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106164 (or 1106157 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 58.

The spelling of 28181919190900 in words is "twenty-eight trillion, one hundred eighty-one billion, nine hundred nineteen million, one hundred ninety thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 397921 708229 795842 1416458 1591684 1989605 2832916 3541145 3979210 7082290 7958420 9948025 14164580 17705725 19896050 35411450 39792100 70822900 281819191909 563638383818 1127276767636 1409095959545 2818191919090 5636383838180 7045479797725 14090959595450 28181919190900