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38449002927076 = 2272192233112
BaseRepresentation
bin10001011111000000110110…
…01010010101001111100100
312001010200121010022011001021
420233200123022111033210
520014422024222131301
6213435121134140524
711045564064332200
oct1057403312251744
9161120533264037
1038449002927076
1111284148875025
12438b811351744
13185b95798a681
1496cd27d33b00
1546a2306c88a1
hex22f81b2953e4

38449002927076 has 81 divisors (see below), whose sum is σ = 82611082110627. Its totient is φ = 15610203690480.

The previous prime is 38449002927017. The next prime is 38449002927113. The reversal of 38449002927076 is 67072920094483.

It is a happy number.

The square root of 38449002927076 is 6200726.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1649381461 + ... + 1649404771.

Almost surely, 238449002927076 is an apocalyptic number.

38449002927076 is the 6200726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38449002927076

38449002927076 is an abundant number, since it is smaller than the sum of its proper divisors (44162079183551).

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

38449002927076 is an frugal number, since it uses more digits than its factorization.

38449002927076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46678 (or 23339 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 61.

The spelling of 38449002927076 in words is "thirty-eight trillion, four hundred forty-nine billion, two million, nine hundred twenty-seven thousand, seventy-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 931 1444 1862 2527 3724 5054 10108 17689 23311 35378 46622 70756 93244 163177 326354 442909 652708 885818 1142239 1771636 2284478 3100363 4568956 6200726 8415271 12401452 16830542 21702541 33661084 43405082 58906897 86810164 117813794 235627588 412348279 543402721 824696558 1086805442 1649393116 2173610884 3803819047 7607638094 10324651699 15215276188 20649303398 26626733329 41298606796 53253466658 72272561893 106506933316 144545123786 196168382281 289090247572 392336764562 505907933251 784673529124 1011815866502 1373178675967 2023631733004 2746357351934 5492714703868 9612250731769 19224501463538 38449002927076