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19439263364004 = 223211460732
BaseRepresentation
bin1000110101110000011100…
…11000110011001110100100
32112211101010200120000001100
410122320032120303032210
510021443102410122004
6105202135130000100
74044304032165561
oct432701630631644
975741120500040
1019439263364004
116215166430000
12221b561b76030
13ab0164c100c3
144b2c187d1868
1523a9d6ee2739
hex11ae0e6333a4

19439263364004 has 135 divisors (see below), whose sum is σ = 54060517903665. Its totient is φ = 5889715888320.

The previous prime is 19439263363903. The next prime is 19439263364021. The reversal of 19439263364004 is 40046336293491.

The square root of 19439263364004 is 4408998.

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

19439263364004 is a `hidden beast` number, since 1 + 94 + 3 + 92 + 63 + 3 + 6 + 400 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17639244008100 + 1800019355904 = 4199910^2 + 1341648^2 .

It is a super-2 number, since 2×194392633640042 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3200929512 + ... + 3200935584.

Almost surely, 219439263364004 is an apocalyptic number.

19439263364004 is the 4408998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19439263364004

19439263364004 is an abundant number, since it is smaller than the sum of its proper divisors (34621254539661).

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

19439263364004 is an frugal number, since it uses more digits than its factorization.

19439263364004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12200 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 19439263364004 in words is "nineteen trillion, four hundred thirty-nine billion, two hundred sixty-three million, three hundred sixty-four thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1331 1452 2178 2662 3993 4356 5324 6073 7986 11979 12146 14641 15972 18219 23958 24292 29282 36438 43923 47916 54657 58564 66803 72876 87846 109314 131769 133606 175692 200409 218628 263538 267212 400818 527076 601227 734833 801636 1202454 1469666 2204499 2404908 2939332 4408998 6613497 8083163 8817996 13226994 16166326 24249489 26453988 32332652 36881329 48498978 72748467 73762658 88914793 96997956 110643987 145496934 147525316 177829586 221287974 266744379 290993868 331931961 355659172 405694619 442575948 533488758 663863922 800233137 811389238 1066977516 1217083857 1327727844 1600466274 1622778476 2434167714 3200932548 3651251571 4462640809 4868335428 7302503142 8925281618 13387922427 14605006284 17850563236 26775844854 40163767281 49089048899 53551689708 80327534562 98178097798 147267146697 160655069124 196356195596 294534293394 441801440091 539979537889 589068586788 883602880182 1079959075778 1619938613667 1767205760364 2159918151556 3239877227334 4859815841001 6479754454668 9719631682002 19439263364004