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19492207340004 = 223274150172
BaseRepresentation
bin1000110111010011000100…
…00110000010100111100100
32120000102210102222122112100
410123221202012002213210
510023330020034340004
6105242332455052100
74051160032440000
oct433514206024744
976012712878470
1019492207340004
116235664978873
122229878971030
13ab515187a059
144b55dc103700
1523c085061739
hex11ba621829e4

19492207340004 has 135 divisors (see below), whose sum is σ = 57484371026537. Its totient is φ = 5568831237312.

The previous prime is 19492207339999. The next prime is 19492207340017. The reversal of 19492207340004 is 40004370229491.

The square root of 19492207340004 is 4414998.

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

19492207340004 is a `hidden beast` number, since 1 + 94 + 92 + 2 + 0 + 73 + 400 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6610195260900 + 12882012079104 = 2571030^2 + 3589152^2 .

It is a super-2 number, since 2×194922073400042 (a number of 27 digits) contains 22 as substring.

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 44 ways as a sum of consecutive naturals, for example, 1298001904 + ... + 1298016920.

Almost surely, 219492207340004 is an apocalyptic number.

19492207340004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19492207340004 is the 4414998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19492207340004

19492207340004 is an abundant number, since it is smaller than the sum of its proper divisors (37992163686533).

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

19492207340004 is an frugal number, since it uses more digits than its factorization.

19492207340004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30072 (or 15029 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

Adding to 19492207340004 its reverse (40004370229491), we get a palindrome (59496577569495).

The spelling of 19492207340004 in words is "nineteen trillion, four hundred ninety-two billion, two hundred seven million, three hundred forty thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 2401 3087 4116 4802 6174 7203 9604 12348 14406 15017 21609 28812 30034 43218 45051 60068 86436 90102 105119 135153 180204 210238 270306 315357 420476 540612 630714 735833 946071 1261428 1471666 1892142 2207499 2943332 3784284 4414998 5150831 6622497 8829996 10301662 13244994 15452493 20603324 26489988 30904986 36055817 46357479 61809972 72111634 92714958 108167451 144223268 185429916 216334902 225510289 324502353 432669804 451020578 649004706 676530867 902041156 1298009412 1353061734 1578572023 2029592601 2706123468 3157144046 4059185202 4735716069 6314288092 8118370404 9471432138 11050004161 14207148207 18942864276 22100008322 28414296414 33150012483 44200016644 56828592828 66300024966 77350029127 99450037449 132600049932 154700058254 198900074898 232050087381 309400116508 397800149796 464100174762 541450203889 696150262143 928200349524 1082900407778 1392300524286 1624350611667 2165800815556 2784601048572 3248701223334 4873051835001 6497402446668 9746103670002 19492207340004