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19961670500 = 2253618092
BaseRepresentation
bin10010100101110011…
…101110101101100100
31220112011101221001122
4102211303232231210
5311340141424000
613100435513112
71304445254042
oct224563565544
956464357048
1019961670500
11851392a552
123a51158798
131b61777565
14d75189392
157bc6e9085
hex4a5ceeb64

19961670500 has 72 divisors (see below), whose sum is σ = 44365821864. Its totient is φ = 7844064000.

The previous prime is 19961670481. The next prime is 19961670523. The reversal of 19961670500 is 507616991.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 11628171556 + 8333498944 = 107834^2 + 91288^2 .

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 23 ways as a sum of consecutive naturals, for example, 24674096 + ... + 24674904.

Almost surely, 219961670500 is an apocalyptic number.

19961670500 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 19961670500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22182910932).

19961670500 is an abundant number, since it is smaller than the sum of its proper divisors (24404151364).

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

19961670500 is an frugal number, since it uses more digits than its factorization.

19961670500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 44.

The spelling of 19961670500 in words is "nineteen billion, nine hundred sixty-one million, six hundred seventy thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 500 610 809 1220 1525 1618 3050 3236 4045 6100 7625 8090 15250 16180 20225 30500 40450 49349 80900 98698 101125 197396 202250 246745 404500 493490 654481 986980 1233725 1308962 2467450 2617924 3272405 4934900 6168625 6544810 12337250 13089620 16362025 24674500 32724050 39923341 65448100 79846682 81810125 159693364 163620250 199616705 327240500 399233410 798466820 998083525 1996167050 3992334100 4990417625 9980835250 19961670500