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19642600340 = 22511245717761
BaseRepresentation
bin10010010010110010…
…100100101110010100
31212200221000111002022
4102102302210232110
5310212001202330
613005041032312
71263522230246
oct222262445624
955627014068
1019642600340
11836a810400
123982325698
131b1063064c
14d44a50096
1579e6beae5
hex492ca4b94

19642600340 has 72 divisors (see below), whose sum is σ = 45442087656. Its totient is φ = 7126732800.

The previous prime is 19642600321. The next prime is 19642600381. The reversal of 19642600340 is 4300624691.

It can be written as a sum of positive squares in 4 ways, for example, as 3745929616 + 15896670724 = 61204^2 + 126082^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19642600340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1097060 + ... + 1114820.

Almost surely, 219642600340 is an apocalyptic number.

19642600340 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 19642600340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22721043828).

19642600340 is an abundant number, since it is smaller than the sum of its proper divisors (25799487316).

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

19642600340 is a wasteful number, since it uses less digits than its factorization.

19642600340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18249 (or 18236 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 19642600340 in words is "nineteen billion, six hundred forty-two million, six hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 457 484 605 914 1210 1828 2285 2420 4570 5027 9140 10054 17761 20108 25135 35522 50270 55297 71044 88805 100540 110594 177610 195371 221188 276485 355220 390742 552970 781484 976855 1105940 1953710 2149081 3907420 4298162 8116777 8596324 10745405 16233554 21490810 32467108 40583885 42981620 81167770 89284547 162335540 178569094 357138188 446422735 892845470 982130017 1785690940 1964260034 3928520068 4910650085 9821300170 19642600340