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19296252136 = 237237241877
BaseRepresentation
bin10001111110001001…
…010111000011101000
31211210210022011200001
4101332021113003220
5304004320032021
612510425352344
71252115302600
oct217611270350
954723264601
1019296252136
11820225a917
1238a63386b4
131a86955695
14d10a53c00
1577e0a8091
hex47e2570e8

19296252136 has 144 divisors (see below), whose sum is σ = 44361274860. Its totient is φ = 7841111040.

The previous prime is 19296252127. The next prime is 19296252167. The reversal of 19296252136 is 63125269291.

It can be written as a sum of positive squares in 6 ways, for example, as 16035156900 + 3261095236 = 126630^2 + 57106^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22002130 + ... + 22003006.

Almost surely, 219296252136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19296252136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22180637430).

19296252136 is an abundant number, since it is smaller than the sum of its proper divisors (25065022724).

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

19296252136 is a wasteful number, since it uses less digits than its factorization.

19296252136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 964 counting only the distinct ones).

The product of its digits is 349920, while the sum is 46.

The spelling of 19296252136 in words is "nineteen billion, two hundred ninety-six million, two hundred fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 37 41 49 56 74 82 98 148 164 196 259 287 296 328 392 518 574 877 1036 1148 1369 1517 1754 1813 2009 2072 2296 2738 3034 3508 3626 4018 5476 6068 6139 7016 7252 8036 9583 10619 10952 12136 12278 14504 16072 19166 21238 24556 32449 35957 38332 42476 42973 49112 56129 64898 67081 71914 74333 76664 84952 85946 112258 129796 134162 143828 148666 171892 224516 227143 251699 259592 268324 287656 297332 343784 392903 449032 454286 503398 536648 594664 785806 908572 1006796 1200613 1330409 1571612 1590001 1761893 1817144 2013592 2401226 2660818 2750321 3143224 3180002 3523786 4802452 5321636 5500642 6360004 7047572 8404291 9312863 9604904 10643272 11001284 12720008 14095144 16808582 18625726 22002568 33617164 37251452 49225133 58830037 65190041 67234328 74502904 98450266 117660074 130380082 196900532 235320148 260760164 344575931 393801064 470640296 521520328 689151862 1378303724 2412031517 2756607448 4824063034 9648126068 19296252136