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19132699041 = 364721092
BaseRepresentation
bin10001110100011001…
…011101000110100001
31211101101112211000000
4101310121131012201
5303140432332131
612442304050213
71245061154451
oct216431350641
954341484000
1019132699041
118128a00a75
12385b603969
131a5babc8c1
14cd703bd61
1576ea4cce6
hex47465d1a1

19132699041 has 63 divisors (see below), whose sum is σ = 29580609891. Its totient is φ = 12369217104.

The previous prime is 19132699007. The next prime is 19132699043. The reversal of 19132699041 is 14099623191.

The square root of 19132699041 is 138321.

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

It can be written as a sum of positive squares in only one way, i.e., 13335399441 + 5797299600 = 115479^2 + 76140^2 .

It is not a de Polignac number, because 19132699041 - 217 = 19132567969 is a prime.

It is a super-3 number, since 3×191326990413 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (19132699043) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 175529295 + ... + 175529403.

Almost surely, 219132699041 is an apocalyptic number.

19132699041 is the 138321-st square number.

19132699041 is the 69161-st centered octagonal number.

It is an amenable number.

19132699041 is a deficient number, since it is larger than the sum of its proper divisors (10447910850).

19132699041 is an frugal number, since it uses more digits than its factorization.

19132699041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 19132699041 in words is "nineteen billion, one hundred thirty-two million, six hundred ninety-nine thousand, forty-one".

Divisors: 1 3 9 27 47 81 109 141 243 327 423 729 981 1269 2209 2943 3807 5123 6627 8829 11421 11881 15369 19881 26487 34263 35643 46107 59643 79461 106929 138321 178929 240781 320787 414963 536787 558407 722343 962361 1244889 1610361 1675221 2167029 2887083 3734667 5025663 6501087 8661249 15076989 19503261 26245129 45230967 58509783 78735387 135692901 175529349 236206161 407078703 708618483 2125855449 6377566347 19132699041