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19099240000 = 26546912
BaseRepresentation
bin10001110010011001…
…110100011001000000
31211022001120220211021
4101302121310121000
5303103401140000
612435110555224
71244203601311
oct216231643100
954261526737
1019099240000
118111028775
123850368b14
131a54ba6359
14cd280c608
1576bb3e11a
hex472674640

19099240000 has 105 divisors (see below), whose sum is σ = 47428545351. Its totient is φ = 7628640000.

The previous prime is 19099239979. The next prime is 19099240009. The reversal of 19099240000 is 4299091.

The square root of 19099240000 is 138200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1497380416 + 17601859584 = 38696^2 + 132672^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19099240009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 27639655 + ... + 27640345.

Almost surely, 219099240000 is an apocalyptic number.

19099240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19099240000 is the 138200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19099240000

19099240000 is an abundant number, since it is smaller than the sum of its proper divisors (28329305351).

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

19099240000 is an frugal number, since it uses more digits than its factorization.

19099240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 19099240000 in words is "nineteen billion, ninety-nine million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 691 800 1000 1250 1382 1600 2000 2500 2764 3455 4000 5000 5528 6910 8000 10000 11056 13820 17275 20000 22112 27640 34550 40000 44224 55280 69100 86375 110560 138200 172750 221120 276400 345500 431875 477481 552800 691000 863750 954962 1105600 1382000 1727500 1909924 2387405 2764000 3455000 3819848 4774810 5528000 6910000 7639696 9549620 11937025 13820000 15279392 19099240 23874050 27640000 30558784 38198480 47748100 59685125 76396960 95496200 119370250 152793920 190992400 238740500 298425625 381984800 477481000 596851250 763969600 954962000 1193702500 1909924000 2387405000 3819848000 4774810000 9549620000 19099240000